If the LCM of two numbers is 169 and their sum is 65, then find the HCF

If the LCM of two numbers is 169 and their sum is 65, then find the HCF.

a)            7

b)            13

c)            5

d)            15

Sol:

HCF of two numbers will be always equal to the HCF of the sum of the numbers and the LCM.

 HCF of 65 and 169 = 13