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    Find the greatest common divisor of 65, 75 and 90.
    Question

    Find the greatest common divisor of 65, 75 and 90.

    A.

    5

    B.

    13

    C.

    15

    D.

    3

    Correct option is A

    Given:

    Number given are 65,75,90

    Formula Used:

    The greatest number that divides the number is called HCF or Greatest common divisor

    Prime factorisation

    Solution:

    Prime factorisation of number are:

    65 = 5×135 \times 13​​

    75 = 3×523 \times 5^2​​

    90 =2×32×5 2 \times 3^2 \times 5​​

    For HCF we includes only the common factors

    HCF = 5

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