Question

If two positive integers a and b are written as a=p^3 q^2 and b=pq^3 Where p,q are prime numbers, then HCF(a,b) is​

Answer 1

Answer:

Since we have given that

a=p^3q^2a=p

3

q

2

b=pq^3b=pq

3

So, the factors becomes,

\begin{gathered}a=p\times p\times p\times q\times q\\b=p\times q\times q\times q\end{gathered}

a=p×p×p×q×q

b=p×q×q×q

So, HCF would be pqpq .

# learn more:

If two positive integers a and b can be expressed as a=p2q3 and b=p3q2, where p and q are prime numbers, Find their LCM and HCF using prime factorisation