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7. If two positive integers p and q can be expressed as p=a^3 b^3and q=ab^3c^2and being prime numbers, then HCF(p,q) is​

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Answer:

The HCF od two POSITIVE integer (p,q) is  a b³

Step-by-step EXPLANATION:

Given as :

The two positive INTEGERS are p , q

The integer EXPRESS as

p = a³ b³

q = a b³ c²

Let The HCF = x

Since HCF is the highest common factor

So, The integers can be written in form

p = a × a × a × b × b × b

q = a × b × b × b × c × c

i.e highest common factor = a × b × b × b

Or, HCF = a b³

Hence, The HCF od two positive integer (p,q) is  a b³ Answer


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