If two positive integers a and b are written asa = x3y2 and b = xy3 ; x, y are prime numbers, then HCF (a, b) is
Question
If two positive integers a and b are written asa = x3y2 and b = xy3 ; x, y are prime numbers, then HCF (a, b) is
Solution
The Highest Common Factor (HCF) of two numbers is the largest number that divides both of them without leaving a remainder.
Given that a = x^3y^2 and b = xy^3, where x and y are prime numbers, we can find the HCF by taking the lowest power of the common factors in a and b.
The common factors in a and b are x and y.
The power of x in a is 3 and in b is 1. So, the lowest power of x is 1.
The power of y in a is 2 and in b is 3. So, the lowest power of y is 2.
Therefore, the HCF of a and b is x^1y^2.
Similar Questions
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