Question

If a = x3 y2 z4 , b = x2 y3 z , find HCF of a,b.

Answer 1

Answer- The above question is from the chapter 'Real Numbers'.

HCF stands for Highest Common Divisor.

It is  also called GCD i.e. Greatest Common Divisor.

There are two ways to find HCF of numbers:

a) Prime Factorization Method

b) Euclid's Division Algorithm

Given question: If a= x³ . y² . z⁴ and b = x² . y³ . z, then find HCF(a,b).

Solution: We have been already given the prime factors of a and b.

We know that HCF = Product of common prime factors with least powers.

So, HCF (a, b) = x² . y² . z

Answer 2

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