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| 1. |
If A=2n+13,B=n+7 where n is a natural number , HCF of A and B |
| Answer» Given A = 2n + 13 and B = n + 7 and since n is a natural number A > B.A = 2(n + 7) - 1A = 2B - 1On dividing throughout with B,A/B = 2 - (1/B)B is always an integer => 1/B can never be an integer => A/B also can\'t be an integerSince A/B is not an integer we can conclude that\xa0A and B cannot have any integer in common. Therefore HCF of A and B is 1. | |