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

Question: 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

Answer: Option C

Explanation:

Let the numbers be 37a and 37b.

Then, 37a x 37b = 4107

ab = 3.

Now, co-primes with product 3 are (1, 3).

So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111).

Greater number = 111.