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Composite Numbers

If a and b ar...

Question

If a and b are two positive co-prime integers such that a = 12b, then HCF (a, b) = _________.

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Solution

If a and b are two positive co-prime integers

⇒ There is no common factor in a and b except 1.

⇒ HCF (a, b) = HCF (12b, b) (∵ a = 12b)
= b

Hence, HCF (a, b) = b .

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