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

  1. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

  2. A.

    75

    B.

    81

    C.

    85

    D.

    89

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    Answer : Option C

    Explanation :

    Since the numbers are co-prime, they contain only 1 as the common factor.

    Also, the given two products have the middle number in common.

    So, middle number = H.C.F. of 551 and 1073 = 29;

    First number =\( [\frac {551 } { 29 }] =19\) Third number =\( [\frac { 1027 } { 2 9} ]=37\)

     Required sum = (19 + 29 + 37) = 85.


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