Let x = 224 and, y = 322. If the highest common factor of 23x and axy is divisible by x and y

Let x = 224 and, y = 322. If the highest common factor of 23x and axy is divisible by x and y, then what can be the possible value of a?

a)            18

b)            16

c)            19

d)            20

Sol:

Given:  x = 224, y = 322 

Calculation: 

HCF(Highest Common Factor) of a and b is the highest number that divides a and b exactly leaving the remainder 0. 

23 × 224 = a × 322

a=224/14

a=16