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    The greatest number that exactly divides 324, 1044 and 1548 is:
    Question

    The greatest number that exactly divides 324, 1044 and 1548 is:

    A.

    33

    B.

    39

    C.

    36

    D.

    28

    Correct option is C

    Given:
    Numbers: 324, 1044, 1548
    Solution:
    Prime factorization of the given numbers:
    324 = 22×342^2 × 34​​
    1044 = 22×32×292^2 × 3^2 × 29​​
    1548 = 22×32×432^2 × 3^2 × 43​​
    => HCF =22×32=2^2 \times 3^2= ​ 4 × 9 = 36

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