Question

The product of two numbers is 4107. If the HCF of these numbers is 37, then the greater number is

Options

• 101

• 107

• 111

• 185

Answer 1

111

Explanation:

Let the numbers be 37a and 37b.

Then, 37a x 37b = 4107 ⇒ ab = 3

Now, coprimes with product 3 are (1, 3).

So, the required numbers are

(37 x 1, 37 x 3) i.e. (37, 111) .

∴ Greater number = 111