Question

If a=p^3q^2 and b=p^2q^3 are two positive integers for two prime number p and q, then HCF (a,b) is

Answer 1

hcf (a,b) will be p^2q^2

Answer 2

The HCF(a,b) is $p^2q^2$.

Step-by-step explanation:

The given numbers are

$a=p^3q^2$

$b=p^2q^3$

We need find HCF(a,b).

Factor for of given numbers are

$a=p\times p\times p\times q\times q$

$b=p\times p\times q\times q\times q$

The HCF(a,b) is

$HCF(a,b)=p\times p\times q\times q=p^2q^2$

Therefore, the HCF(a,b) is $p^2q^2$.

#Learn more

24 and 36 lcm and hcf.

https://brainly.in/question/6031067