![Let x = 224 and, y = 322. If the highest common factor of 23x and axy is divisible by x and y](https://www.gkseries.com/blog/wp-content/uploads/2024/03/Let-x-224-and-y-322.-If-the-highest-common-factor-of-23x-and-axy-is-divisible-by-x-and-y.jpg)
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