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    Find the HCF of 5², 5⁴ and 5⁶.
    Question

    Find the HCF of 5², 5⁴ and 5⁶.

    A.


    B.

    5⁴

    C.

    5⁶

    D.

    5⁸

    E.

    5105^{10}​​

    Correct option is A

    Given:

    Numbers: 5², 5⁴, and 5⁶

    Formula Used:

    To find the HCF (Highest Common Factor) of numbers in the form of powers of a prime, we use the following formula:

    HCF =BaseSmallest Exponent Base ^ {Smallest \ Exponent}​​

    Where the base is the common prime factor, and the smallest exponent is the lowest exponent among the numbers.

    Solution:

    The numbers are 5², 5⁴, and 5⁶.

    The common base is 5, and the smallest exponent is 2.

    Therefore, the HCF is:

    HCF = 5min(2,4,6)=52=25 5 ^ {min(2, 4, 6)} = 5² = 25​​

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