{"id":2192,"date":"2022-03-20T08:25:06","date_gmt":"2022-03-20T08:25:06","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=2192"},"modified":"2022-03-22T14:21:03","modified_gmt":"2022-03-22T14:21:03","slug":"math-basic-lcm-hcf-common-factor","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/math-basic-lcm-hcf-common-factor\/","title":{"rendered":"Math Basic| \u09b2\u09b8\u09be\u0997\u09c1-\u0997\u09b8\u09be\u0997\u09c1"},"content":{"rendered":"\r\n<p><span style=\"font-weight: 400;\"><strong>\u09b2.\u09b8\u09be.\u0997\u09c1 (LCM) \u098f\u09b0 \u09aa\u09c2\u09b0\u09cd\u09a3\u09b0\u09c2\u09aa<\/strong>&#8211; \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09bf\u09a4\u0995\u0964<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\"><strong>\u0997.\u09b8\u09be.\u0997\u09c1(HCF) \u098f\u09b0 \u09aa\u09c2\u09b0\u09cd\u09a3\u09b0\u09c2\u09aa<\/strong>&#8211; \u0997\u09b0\u09bf\u09b7\u09cd\u09a0 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995 \u0964<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\"><strong>\u0997.\u09b8\u09be.\u0997\u09c1. \u0993 \u09b2.\u09b8\u09be.\u0997\u09c1. \u098f\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 (Relation between LCM &amp; HCF):<\/strong> \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u099f\u09bf\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2= \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u099f\u09bf\u09b0 \u0997.\u09b8\u09be.\u0997\u09c1. X \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u099f\u09bf\u09b0 \u09b2.\u09b8\u09be.\u0997\u09c1.\u0964<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09b2.\u09b8\u09be.\u0997\u09c1. = \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u099f\u09bf\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2 \/\u00a0 \u0997.\u09b8\u09be.\u0997\u09c1. \u0964\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u098f\u0995\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be\u0995\u09c7 \u0985\u09a8\u09cd\u09af \u098f\u0995\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09bf\u09af\u09bc\u09c7 \u09ad\u09be\u0997 \u0995\u09b0\u09b2\u09c7, \u09af\u09a6\u09bf \u09ad\u09be\u0997\u09b6\u09c7\u09b7 \u09a8\u09be \u09a5\u09be\u0995\u09c7 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09af\u09a6\u09bf \u09b8\u0982\u0996\u09be\u099f\u09bf \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3\u09b0\u09c2\u09aa\u09c7 \u09ac\u09bf\u09ad\u09be\u099c\u09cd\u09af \u09b9\u09af\u09bc, \u09a4\u09be\u09b9\u09b2\u09c7 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09af\u09bc \u09b8\u0982\u0996\u09cd\u09af\u09be\u099f\u09bf\u0995\u09c7 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 <strong>\u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995 \u09ac\u09be \u0989\u09ce\u09aa\u09be\u09a6\u0995<\/strong> \u09ac\u09b2\u09c7 \u098f\u09ac\u0982 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u0982\u0996\u09cd\u09af\u09be\u099f\u09bf\u0995\u09c7 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09af\u09bc \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 <strong>\u0997\u09c1\u09a3\u09bf\u09a4\u0995<\/strong> \u09ac\u09b2\u09c7\u0964 \u09af\u09c7\u09ae\u09a8- (\u09e7\u09e6<\/span><span style=\"font-weight: 400;\"> \/ <\/span><span style=\"font-weight: 400;\">\u09eb) = \u09e8\u0964 \u098f\u0996\u09be\u09a8\u09c7 \u09e7\u09e6 \u09b8\u0982\u0996\u09be\u099f\u09bf\u09b0 \u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995 \u09eb\u0964 \u0986\u09ac\u09be\u09b0 \u09eb \u098f\u09b0 \u0997\u09c1\u09a3\u09bf\u09a4\u0995 \u09b9\u09b2 \u09e7\u09e6\u0964<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09b8\u0982\u0996\u09cd\u09af\u09be\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 <\/span>\u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995\u0997\u09c1\u09b2\u09cb\u09b0<span style=\"font-weight: 400;\"> \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u09ac\u099a\u09c7\u09af\u09bc\u09c7 \u09ac\u09a1\u09bc <\/span><b>\u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995\u0995\u09c7<\/b><span style=\"font-weight: 400;\"> \u0993\u0987 \u09b8\u0982\u0996\u09cd\u09af\u09be\u0997\u09c1\u09b2\u09cb\u09b0 \u0997\u09b0\u09bf\u09b7\u09cd\u09a0 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995 \u09ac\u09be \u0997.\u09b8\u09be.\u0997\u09c1. \u09ac\u09b2\u09be \u09b9\u09af\u09bc\u0964<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09a6\u09c1\u0987 \u09ac\u09be \u09a4\u09a4\u09cb\u09a7\u09bf\u0995 \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0\u09a4\u09ae \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09bf\u09a4\u0995\u0995\u09c7 \u09a4\u09be\u09a6\u09c7\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09bf\u09a4\u0995 \u09ac\u09be \u09b2.\u09b8\u09be.\u0997\u09c1. \u09ac\u09b2\u09c7\u0964\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09b2. \u09b8\u09be. \u0997\u09c1 \u098f\u09ac\u0982 \u0997. \u09b8\u09be. \u0997\u09c1. \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09b8\u0982\u0996\u09cd\u09af\u09be\u0997\u09c1\u09b2\u09cb\u0995\u09c7 \u09ae\u09cc\u09b2\u09bf\u0995 \u0989\u09ce\u09aa\u09be\u09a6\u0995\u09c7 \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09a3 \u0995\u09b0\u09a4\u09c7 \u09b9\u09af\u09bc\u0964<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09aa\u09cd\u09b0\u09be\u09df \u0985\u09a8\u09c1\u09b0\u09c2\u09aa \u09a8\u09bf\u09df\u09ae\u09c7 <\/span>\u0997\u09b0\u09bf\u09b7\u09cd\u09a0<span style=\"font-weight: 400;\"> \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09df\u0995 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u0997 .\u09b8\u09be .\u0997\u09c1 \u09a8\u09bf\u09b0\u09cd\u09a3\u09df \u0995\u09b0\u09be \u09b9\u09df\u0964\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\"><strong>\u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09df\u0995 \u09ac\u09be \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0989\u09ce\u09aa\u09be\u09a6\u0995 (Common Factor)<\/strong>:- \u09a6\u09c1\u0987 \u09ac\u09be \u09a4\u09a4\u09cb\u09a7\u09bf\u0995<a href=\"https:\/\/stage-wp.10minuteschool.com\/?p=2309&amp;preview=true\"> \u09ac\u09c0\u099c\u0997\u09be\u09a3\u09bf\u09a4\u09bf\u0995 \u09b0\u09be\u09b6\u09bf<\/a> \u0985\u09aa\u09b0 \u0995\u09cb\u09a8\u09cb \u09b0\u09be\u09b6\u09bf \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3 \u09ac\u09bf\u09ad\u09be\u099c\u09bf\u09a4 \u09b9\u09b2\u09c7 <\/span>\u09b6\u09c7\u09b7\u09cb\u0995\u09cd\u09a4<span style=\"font-weight: 400;\"> \u09b0\u09be\u09b6\u09bf\u099f\u09bf\u0995\u09c7 \u0993\u0987 \u09a6\u09c1\u0987 \u09ac\u09be \u09a4\u09a4\u09cb\u09a7\u09bf\u0995 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c0\u09df \u09b0\u09be\u09b6\u09bf\u09b0 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09df\u0995 \u09ac\u09be \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0989\u09ce\u09aa\u09be\u09a6\u0995 \u09ac\u09b2\u09c7\u0964\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\"><strong>\u0997\u09b0\u09bf\u09b7\u09cd\u09a0 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09df\u0995 \u09ac\u09be \u0997.\u09b8\u09be.\u0997\u09c1. (Highest Common Factor or H.C.F)<\/strong>:- \u09a6\u09c1\u0987 \u09ac\u09be \u09a4\u09a4\u09cb\u09a7\u09bf\u0995 \u09b0\u09be\u09b6\u09bf\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09af\u09a4\u0997\u09c1\u09b2\u09bf \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09ae\u09cc\u09b2\u09bf\u0995 \u0997\u09c1\u09a3\u09a8\u09c0\u09df\u0995 \u09a5\u09be\u0995\u09c7, \u09a4\u09be\u09a6\u09c7\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2\u0995\u09c7 \u09aa\u09c2\u09b0\u09cd\u09ac\u09cb\u0995\u09cd\u09a4 <\/span><b>\u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0<\/b><span style=\"font-weight: 400;\"> \u0997\u09b0\u09bf\u09b7\u09cd\u09a0 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09df\u0995 \u09ac\u09be \u0997.\u09b8\u09be.\u0997\u09c1. (Highest Common Factor or H.C.F) \u09ac\u09b2\u09c7\u0964\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<h2><b>\u0997. \u09b8\u09be. \u0997\u09c1. \u09a8\u09bf\u09b0\u09cd\u09a3\u09df <\/b><b>\u09aa\u09a6\u09cd\u09a7\u09a4\u09bf<\/b><b> (Determination of HCF)<\/b><\/h2>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09bf\u0995\u09c7 \u09aa\u09cd\u09b0\u09a5\u09ae\u09a4 \u0989\u09ce\u09aa\u09be\u09a6\u0995\u09c7 \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09a3 \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7\u0964\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09ae\u09cc\u09b2\u09bf\u0995 <\/span><b>\u0997\u09c1\u09a3\u09a8\u09c0\u09df\u0995\u0997\u09c1\u09b2\u09cb\u09b0<\/b><span style=\"font-weight: 400;\"> \u09af\u09c7 <\/span><b>\u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a<\/b><span style=\"font-weight: 400;\"> \u09ae\u09be\u09a8 <\/span><b>\u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09bf\u0995\u09c7<\/b> <b>\u09a8\u09bf\u0983\u09b6\u09c7\u09b7\u09c7<\/b><span style=\"font-weight: 400;\"> \u09ad\u09be\u0997 \u0995\u09b0\u09c7, \u09a4\u09be\u09a6\u09c7\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2\u0987 \u0997. \u09b8\u09be. \u0997\u09c1. \u09b9\u09ac\u09c7\u0964\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09b8\u09b9\u0997\u09c7\u09b0 \u0997.\u09b8\u09be.\u0997\u09c1.\u0987 \u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u0997 .\u09b8\u09be .\u0997\u09c1\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09b8\u09b9\u0997 \u09b9\u09ac\u09c7\u0964<\/span><\/p>\r\n\r\n\r\n\r\n<h2><b>\u09b2 .\u09b8\u09be .\u0997\u09c1 \u09a8\u09bf\u09b0\u09cd\u09a3\u09df \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf (<\/b><b>Determination of LCM)<\/b><\/h2>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09aa\u09cd\u09b0\u09a4\u09cd\u09af\u09c7\u0995 \u09b0\u09be\u09b6\u09bf\u0995\u09c7 <a href=\"https:\/\/stage-wp.10minuteschool.com\/?p=2309&amp;preview=true\">\u0989\u09ce\u09aa\u09be\u09a6\u0995\u09c7 \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09a3<\/a> \u0995\u09b0\u09c7, \u0989\u0995\u09cd\u09a4 \u0989\u09ce\u09aa\u09be\u09a6\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09aa\u09cd\u09b0\u09a4\u09cd\u09af\u09c7\u0995\u099f\u09bf\u09b0 \u09af\u09c7 \u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a, \u09a4\u09be\u09a6\u09c7\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2\u0987 \u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u09b2. \u09b8\u09be. \u0997\u09c1. \u09b9\u09ac\u09c7\u0964 \u09b0\u09be\u09b6\u09bf\u0997\u09c1\u09b2\u09cb\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09b8\u09b9\u0997\u0997\u09c1\u09b2\u09cb\u09b0 \u09b2.\u09b8\u09be.\u0997\u09c1.\u0987 \u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u09b2 .\u09b8\u09be .\u0997\u09c1.-\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09b8\u09b9\u0997 \u09b9\u09ac\u09c7\u0964<\/span><\/p>\r\n\r\n\r\n\r\n<h2><strong>\u0989\u09a6\u09be\u09b9\u09b0\u09a3<\/strong><\/h2>\r\n\r\n\r\n\r\n<ul>\r\n<li><strong>\u09a6\u09c1\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2 \u09e9\u09e9\u09ee\u09e6 \u098f\u09ac\u0982 \u0997, \u09b8\u09be. \u0997\u09c1 \u09e7\u09e9. \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u099f\u09bf\u09b0 \u09b2.\u09b8\u09be.\u0997\u09c1 \u0995\u09a4?<\/strong><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u0987\u099f\u09bf\u09b0 \u09b2.\u09b8\u09be.\u0997\u09c1.= \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u0987\u099f\u09bf\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2\/ \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u0987\u099f\u09bf\u09b0 \u0997.\u09b8\u09be.\u0997\u09c1.= \u09e9\u09e9\u09ee\u09e6\/\u09e7\u09e9= \u09e8\u09ec\u09e6\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<ul>\r\n<li><strong><span class=\"katex-eq\" data-katex-display=\"false\">(4x^2-16)\\; \u098f\u09ac\u0982\\; 6x^2 + 24x + 24\\; \u098f\u09b0\\; \u0997\u09b8\u09be\u0997\u09c1\\; \u0995\u09a4?<\/span><\/strong><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8:\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>(4x^2-16) = (2x + 4) (2x-4) = 2\u00d72(x+2)(x-2)\\\\6x^2 + 24x + 24 = x^2 + 4x + 4 = x^2 + 2x + 2x +4 = x(x+2) +2 (x+2) = (x+2) (x+2)\u00a0<\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<p><b>\u0997.\u09b8\u09be.\u0997\u09c1.=<span class=\"katex-eq\" data-katex-display=\"false\">2(x+2)<\/span><\/b><\/p>\r\n\r\n\r\n\r\n<ul>\r\n<li><span style=\"font-weight: 400;\"><strong><span class=\"katex-eq\" data-katex-display=\"false\">9x^2-9x-4<\/span> \u098f\u09b0 \u0989\u09ce\u09aa\u09be\u09a6\u0995 \u0995\u09cb\u09a8\u099f\u09bf?<\/strong><\/span><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>9x^2-9x-4 = 9x^2 + 3x - 12x - 4 = 3x( 3x +1) - 4(3x +1) = (3x+1) (3x-4) <\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<ul>\r\n<li><span style=\"font-weight: 400;\"><strong>\u09a6\u09c1\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09b2.\u09b8\u09be.\u0997\u09c1. \u0993\u00a0\u0997.\u09b8\u09be.\u0997\u09c1. \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \u09ec\u09e6 \u0993 \u09e7\u09e6\u0964 \u098f\u0995\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be \u0985\u09aa\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09e8\/\u09e9 \u0985\u0982\u09b6\u00a0\u09b9\u09b2\u09c7 \u099b\u09cb\u099f \u09b8\u0982\u0996\u09cd\u09af\u09be\u099f\u09bf \u0995\u09a4?<\/strong><\/span><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u0987\u099f\u09bf\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2 = \u09ec\u09e6\u09e6\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u098f\u0995\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be \u0985\u09aa\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09e8\/\u09e9\u00a0\u0985\u0982\u09b6 \u09b9\u09b2\u09c7, \u09ac\u09dc \u09b8\u0982\u0996\u09cd\u09af\u09be\u099f\u09bf \u0995 \u09a7\u09b0\u09c7 \u099b\u09cb\u099f \u09b8\u0982\u0996\u09cd\u09af\u09be\u099f\u09bf <span class=\"katex-eq\" data-katex-display=\"false\">\\frac{\u09e8\u0995}{\u09e9}<\/span>\u0964<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09a4\u09be\u09b9\u09b2\u09c7, <span class=\"katex-eq\" data-katex-display=\"false\">\u0995\\times \\frac{\u09e8\u0995}{\u09e9}=\\frac{\u09e8\u0995^\u09e8}{\u09e9}<\/span>;<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09ae\u09a4\u09c7, <span class=\"katex-eq\" data-katex-display=\"false\">\\frac{\u09e8\u0995^\u09e8}{\u09e9}=\u09ec\u09e6\u09e6<\/span><\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09ac\u09be,<span class=\"katex-eq\" data-katex-display=\"false\">\u09e8\u0995^\u09e8 = \u09e7\u09ee\u09e6\u09e6<\/span><\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\u0995^\u09e8= \u09ef\u09e6\u09e6<\/span><\/span><\/p>\r\n\r\n\r\n\r\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\therefore<\/span> <span style=\"font-weight: 400;\">\u0995 = \u09e9\u09e6\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09ac\u09dc \u09b8\u0982\u0996\u09cd\u09af\u09be\u099f\u09bf \u09e9\u09e6 \u09b9\u09b2\u09c7 \u099b\u09cb\u099f \u09b8\u0982\u0996\u09cd\u09af\u09be\u099f\u09bf \u09e8\u09e6\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<ul>\r\n<li><span style=\"font-weight: 400;\"><strong>\u0995\u09cb\u09a8 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0\u09a4\u09ae \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a5\u09c7\u0995\u09c7 \u09eb \u09ac\u09bf\u09af\u09bc\u09be\u09c7\u0997 \u0995\u09b0\u09b2\u09c7 \u09ac\u09bf\u09af\u09bc\u09be\u09c7\u0997\u09ab\u09b2 \u09ec \u098f\u09ac\u0982 \u09e7\u09e6 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09a8\u09bf\u0983\u09b6\u09c7\u09b7\u09c7 \u09ac\u09bf\u09ad\u09be\u099c\u09cd\u09af \u09b9\u09ac\u09c7?<\/strong><\/span><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\"><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8:<\/strong> \u09ec \u0993 \u09e7\u09e6 \u098f\u09b0 \u09b2\u09b8\u09be\u0997\u09c1= \u09e9\u09e6\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09a4\u09be\u09b9\u09b2\u09c7 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0\u09a4\u09ae \u09b8\u0982\u0996\u09cd\u09af\u09be \u09af\u09be \u09a5\u09c7\u0995\u09c7 \u09eb \u09ac\u09bf\u09df\u09cb\u0997 \u0995\u09b0\u09b2\u09c7 \u09ec \u0993 \u09e7\u09e6 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09a8\u09bf\u0983\u09b6\u09c7\u09b7\u09c7 \u09ac\u09bf\u09ad\u09be\u099c\u09cd\u09af = \u09e9\u09e6+\u09eb=\u09e9\u09eb\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n<ul>\r\n<li><span style=\"font-weight: 400;\"><strong><span class=\"katex-eq\" data-katex-display=\"false\">a + b, a^2-b^2 \\;\u098f\u09ac\u0982\\; a^3 + b^3 \\;\u098f\u09b0\\; \u0997.\u09b8\u09be.\u0997\u09c1.\\; \u0995\u09a4?<\/span><\/strong><\/span><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<p><strong><span style=\"font-weight: 400;\">\u09b8\u09ae\u09be\u09a7\u09be\u09a8<\/span>:<\/strong><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\">\r\n<pre>a^2-b^2 = (a+b) (a-b) \\\\ a^3 + b^3 = (a+b) (a^2 - ab +b^2) <\/pre>\r\n<\/div>\r\n\r\n\r\n\r\n<p><span style=\"font-weight: 400;\">\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u0997.\u09b8\u09be.\u0997\u09c1: (a+b)<\/span><\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>\u09b2.\u09b8\u09be.\u0997\u09c1 (LCM) \u098f\u09b0 \u09aa\u09c2\u09b0\u09cd\u09a3\u09b0\u09c2\u09aa&#8211; \u09b2\u0998\u09bf\u09b7\u09cd\u09a0 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09bf\u09a4\u0995\u0964 \u0997.\u09b8\u09be.\u0997\u09c1(HCF) \u098f\u09b0 \u09aa\u09c2\u09b0\u09cd\u09a3\u09b0\u09c2\u09aa&#8211; \u0997\u09b0\u09bf\u09b7\u09cd\u09a0 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3\u09a8\u09c0\u09af\u09bc\u0995 \u0964 \u0997.\u09b8\u09be.\u0997\u09c1. \u0993 \u09b2.\u09b8\u09be.\u0997\u09c1. \u098f\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 (Relation between LCM &amp; HCF): \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u099f\u09bf\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2= \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u099f\u09bf\u09b0 \u0997.\u09b8\u09be.\u0997\u09c1. X \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u099f\u09bf\u09b0 \u09b2.\u09b8\u09be.\u0997\u09c1.\u0964 \u09b2.\u09b8\u09be.\u0997\u09c1. = \u09b8\u0982\u0996\u09cd\u09af\u09be \u09a6\u09c1\u099f\u09bf\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2<\/p>\n<p> <a class=\"redmore\" href=\"https:\/\/10minuteschool.com\/content\/math-basic-lcm-hcf-common-factor\/\">Read More<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[3639,3653],"tags":[2066,2064,2063,1939,2065],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2192"}],"collection":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=2192"}],"version-history":[{"count":11,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2192\/revisions"}],"predecessor-version":[{"id":2876,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2192\/revisions\/2876"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=2192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=2192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=2192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}