Question

If two positive integers a and b are written as a=x³y² and b = xy³ where x , y are prime numbers then find hcf a,b

Answer 1

a=x3y2

b=xy3

For hcf(a,b)

a= x x x y y 

b= x y y y 

The terms same in both a and b are x y y 

x y y = xy2

Hence, HCF(a,b)=xy2

Answer 2

Consider the following positive numbers: a =$x^3y^2$

whereas b =$xy^3$

where the numbers x and y are primes

We need to locate h.c.f (a, b)

Solution: Factor the numbers you've been given.

The highest common factor between the numbers is the h.c.f. As a result, h.c.f. (a, b) = xyy This is the proper response.

Given:

Consider the positive numbers a = $x^3y^2$

whereas b = $xy^3$

where the numbers x and y are primes

We need to locate h.c.f (a, b)

Solution: Factor the numbers you've been given.

a = x x x y y

b = x y y y

The highest common factor between the numbers is the h.c.f. As a result, h.c.f. (a, b) = xyy This is the proper response.