Multiple Choice Questions on If a and b be positive integers then what is HCF a HCF a b b HCF a b equal to ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If a and b be positive integers then what is HCF a HCF a b b HCF a b equal to ........

Quant (SSC) LCM, HCF
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    If a and b be positive integers, then what is HCF [a /HCF (a, b), b /HCF (a, b)]  equal to?

    a

    Incorrect Answer

    b

    Incorrect Answer

    1

    Correct Answer

    a /HCF (a, b)

    Incorrect Answer
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    Explanation:
    Let the two positive integers be a = 2, and b = 3
    Now, on putting the respective values of a & b in the given equation, we get
    ∴ HCF [2 /HCF (2, 3), 3 /HCF (2, 3)]
    HCF (2/1, 3/1)
    ⇒ HCF (2, 3) = 1.

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