Question

if two positive integers a and b are written as a=x4 y2 and b=x3 y, where x,y are prime numbers , then find HCF (a,b).

Answer 1

Hello friend

Positive integer a =x⁴*y²

Positive integer b=x³*y

Hcf will be the product of the common primes with the least powers

So the common primes here are x and y

x with the least power is x³

y with the least power is y¹

So the hcf will be x³*y

Hope it helps!!