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Discussion :: Problems on H.C.F and L.C.M

  1. What will be the HCF of 608, 544; 638, 783; and 425, 476 respectively?

    2. A.
    32, 29, 17
    B.
    17, 32, 29
    C.
    29, 32, 17
    D.
    32, 17, 29

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    Answer : Option A

    Explanation :

    First of all we have to write the numbers as product of the prime factor.
    Prime factor of 608 = 25 * 19
    i.e.,

    Aptitude H.C.F and L.C.M

    And the prime factor of 544 = 25 * 17
    i.e.,

    Aptitude H.C.F and L.C.M

    So, the HCF of 608 and 544 = common factor in both = 25 = 32
    Similarly, The prime factor of 638 = 2 * 11 * 29
    The prime factor of 783 = 3* 3 * 3 * 29
    So, the HCF of 638 and 783 = 29

    Now, the prime factor of 425 = 5 * 5 * 17
    The prime factor of 476 = 2*2*7*17
    So, the HCF of 425 and 476 = 17

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