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    Find the greatest number which will exactly divide 2610, 2900 and 3190.
    Question

    Find the greatest number which will exactly divide 2610, 2900 and 3190.

    A.

    145

    B.

    580

    C.

    290

    D.

    305

    Correct option is C

    Given:

    Numbers = 2610, 2900, 3190

    Solution:

    Differences:
    2900 – 2610 = 290
    3190 – 2900 = 290
    3190 – 2610 = 580

    So, required HCF = HCF(2610, 290, 580)

    First, HCF(290, 580) = 290

    Now, check 2610 ÷ 290 = 9 (exactly divisible)

    So, HCF = 290

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