The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is_________?

A. 101
B. 107
C. 111
D. 185

Explanation:

Let the numbers be 37a and 37b.

Then, 37a * 37 b = 4107 => ab = 3
Now, co-primes with product 3 are (1, 3).
So, the required numbers are (37 * 1, 37 * 3) i.e., (1, 111).
Greater number = 111.