If one of the number is 117, then other number is :

The highest common factor and least common multiple of two numbers are 13 and 1989 respectively. If one of the number is 117, then other number is
(a) 224
(b) 223
(c) 221
(d) 225

Anurag Mishra Professor Asked on 3rd February 2016 in Maths.
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  • 1 Answer(s)

    Answer: (c) 221

    Solution:-
    The highest common factor of two numbers = 13
    And least common multiple = 1989
    One number 117

    Formula-
    Product of two numbers = highest common factor of two numbers x least common multiples of two numbers

    Then, 117 x second number = 13 x 1989
     Second number = 1989 x 13 /117
     = 17 x 13
     = 221

    So, the other number is 221. 

    Hence, the correct answer is option (c) 221. 

    Anurag Mishra Professor Answered on 3rd February 2016.
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