If the two positive integers m and n are expresseble in form m=pq^3 and n=p^3 q^3, wherep and q are prime numbers then hcf ( m,n)=
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Step-by-step explanation:
The HCF of any two number a and b is the highest common factor that divides both number a and b.
Given : Two positive integers m and n are expressible in the form of and , where p,q are prime numbers.
Prime Factorization of m = [∵p,q are prime numbers]
Prime Factorization of n = [∵p,q are prime numbers]
Highest common factor of m and n : HCF (m,n)=
Hence, the HCF(m,n)= pq².
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