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Option (b)
Step-by-step explanation:
Given :-
The two integers a and b are written as a = p³q² and b = pq³ .Where p and q are the prime numbers.
To find :-
Find the HCF of the integers a and b ?
Solution :-
Given that
The two integers a and b are written as
a = p³q²
b = pq³ .
Where p and q are the prime numbers.
a = p×p×p×q×q
b = p×q×q×q
The product of the prime numbers with least powers of each common factors is their HCF
=> HCF (a,b) = p×q×q
=> HCF (a,b) = pq²
Answer:-
The HCF of the two integers a and b is pq²
Used formulae:-
→The height Common factor of the two or more numbers is thier HCF.
→The product of the prime numbers with least powers of each common factors is their HCF
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