Question

OR
If two positive integers a and b are written as a = x^3×y^2and b = x×y^3where x,y are prime numbers,
then Find HCF (a,b).​

Answer 1

Solution :-

Here, Two positive integers a and b are given

The value of a and b is

x^3 * y^2 and x * y^3

Now,

We have to find the HCF

Therefore,

Factors of a and b are :-

a = x * x * x * y * y

b = x * y * y * y

Common factors = x * y * y

Therefore,

HCF = xy^2

Hence,

The HCF of given integers a and b is xy^2 .

Learn More :-

If we have to find the LCM of given integers a and b then

a = x * x * x * y * y

b = x * y * y * y

LCM = x * x * x * y * y * y

LCM = x^3y^3 $.$