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

  1. Find the greatest integer that divides 358, 376, and 334 and leaves the same remainder in each case.

  2. A.
    6
    B.
    7
    C.
    8
    D.
    9

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    Answer : Option A

    Explanation :

    Take the difference between two numbers

    376 - 358 = 18;
    376 - 334 = 42;
    358 - 334 = 24;

    By taking the HCF of 18, 42, 24.

    18 = 2 x3 x 3
    42 = 2 x 3 x 7
    24 = 2 x 2 x 2 x 3
    HCF = 2 x 3 = 6

    Hence the required number is 6.


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