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
