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    The HCF of 36, 48 and 172 is _______.
    Question

    The HCF of 36, 48 and 172 is _______.

    A.

    4

    B.

    12

    C.

    8

    D.

    6

    Correct option is A

    Given:

    Numbers = 36, 48, 172

    We need HCF (36, 48, 172).

    Solution:

    Prime factorization

    36 = 22×322^2 \times 3^2​​

    48 =24×3 2^4 \times 3​​

    172 =22×43= 2^2 \times 43​​

    Take common factors

    Common prime factor among all three =22=4 2^2 = 4​​

    So,

    HCF(36, 48, 172) = 4

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