The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
A
185
B
107
C
101
D
111
Correct Option:
D
Explanation
If the HCF of two numbers is 37, the numbers can be written as 37a and 37b. Their product gives 37²ab = 4107. Since 37² = 1369, ab = 4107 ÷ 1369 = 3. The coprime factors are 1 and 3, so the numbers are 37 and 111. Therefore, the greater number is 111.
