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).
Explanation:
It is given that,
Two positive integers p & q are written as p = a²b³ and q=a⁴b; a, b are prime numbers.
Then,
[tex]\begin{gathered} p=a^2b^3=a\times a\times b\times b\times b \\ q=a^4b=a\times a\times a\times a\times b \\ HCF\text{ }(p,q)=a\times a\times b \\ =a^2b \end{gathered}[/tex]Hence, the HCF of (p,q) is a²b.
