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    Find the Highest Common Factor (HCF) of 372, 732 and 2196.
    Question

    Find the Highest Common Factor (HCF) of 372, 732 and 2196.

    A.

    1

    B.

    58

    C.

    12

    D.

    30

    Correct option is C

    Given
    Find the Highest Common Factor (HCF) of 372, 732 and 2196
    Solution
    372
    372 = 2 × 2 × 3 × 31
    = 2² × 3 × 31
    732
    732 = 2 × 2 × 3 × 61
    = 2² × 3 × 61
    2196
    2196 = 2 × 2 × 3 × 3 × 61
    = 2² × 3² × 61
    Common Prime Factors
    Common in all three numbers:
    2² and 3
    Multiply Common Factors
    HCF = 2² × 3
    = 4 × 3
    = 12
    The correct option is (C) 12

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