QA – Placement Quizzes | HCF | Question 11

The product of two number is 4107. If the HCF of these numbers is 37, then the greater number is:
(A) 101
(B) 107
(C) 111
(D) 185


Answer: (C)

Explanation: Let the required numbers be 37x and 37y. Then,
37x * 37y = 4107
So, x * y = 4107/(37*37) = 3.
Co-primes with product 3 are (1,3).
Therefore, the greater number = 3 * 37 = 111.


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