Question

if two postive integer a and b are written as a= pcube q cube and b pqcube p and q are prime numbers then hcf a and b is
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Answer 1

☢️GIVEN☢️

• a = p³q³
• b = pq³

☢️TO FIND☢️

• HCF of (a,b) is = ?

☢️SOLUTION☢️

Step 1: Find the prime factorisation of all the no.

so,

a = p³ q³

= p×p×p×q×q×q

b = pq³

= p×q×q×q

Step 2: Factor out the common and the product of all the common prime factor is the HCF

So,

Common factors are = p×q×q×q

= pq³

Thus,

HCF(a,b) = pq³

Hence, HCF(a,b) will be pq³