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The HCF of any two even perfect squares will be at least
Question

The HCF of any two even perfect squares will be at least

A.

4

B.

2

C.

1

D.

6

Correct option is A

Given:
We are asked to find the HCF of any two even perfect squares.
Formula Used:
The HCF of two numbers is the largest number that divides both numbers exactly.
For two even perfect squares, the smallest even perfect square is 4.
Solution:
Let the two even perfect squares be 4 and another even perfect square 4k^2 , where k is an integer.
The HCF of 4 and any even perfect square will always include the factor 4 because 4 is the smallest even perfect square that divides both numbers.

Thus, the HCF of any two even perfect squares will be at least 4.

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