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    If the LCM of a and b is c, then their HCF is:
    Question

    If the LCM of a and b is c, then their HCF is:

    A.

    bca\frac{bc}a​​

    B.

    acb\frac{ac}b​​

    C.

    cab\frac c {ab}​​

    D.

    abc\frac{ab}c​​

    Correct option is D

    Given:
    LCM (Least Common Multiple) numbers a and b is c
    Concept Used:
    If the LCM (Least Common Multiple) of two numbers a and b is c, then we can find their HCF (Highest Common Factor) using the relationship between LCM and HCF
    LCM×HCF=a×b
    Solution:
    LCM of a and b is c
    c×HCF=a×b
    HCF=a×bc=abc\frac{a×b}{c}= \frac{ab}{c}​​

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