Question

if two positive integers p & q are written as p = a^2b^3 and q=a^4b; a,b are prime numbers, then HCF(p,q) is

Answer 1

Given

Two positive integers p & q are written as p = a²b³ and q=a⁴b; a, b are prime numbers.

To find: The HCF of (p,q).

Step-by-step explanation:

It is given that,

Two positive integers p & q are written as p = a²b³ and q=a⁴b; a, b are prime numbers.

Then,

`\begin{gathered} p=a^2b^3=a* a* b* b* b \\ q=a^4b=a* a* a* a* b \\ HCF\text{ }(p,q)=a* a* b \\ =a^2b \end{gathered}`

Hence, the HCF of (p,q) is a²b.