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If A=2n+13,B=n+7 where n is a …

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If A=2n+13,B=n+7 where n is a natural number , HCF of A and B

Posted by Novah Shaji 4 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 3 months ago

Given A = 2n + 13 and B = n + 7 and since n is a natural number A > B.

A = 2(n + 7) - 1

A = 2B - 1

On 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 integer

Since A/B is not an integer we can conclude that A and B cannot have any integer in common. Therefore HCF of A and B is 1.

3Thank You

ANSWER

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CBSE > Class 10 > Mathematics