What is the greatest common divisor of 48 and 60?

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Priyanka Sharma 2024-04-06T14:33:54+00:00 1 Answer 3 views
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  1. Pawan Kumar
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    2024-05-13T08:58:19+00:00
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    The greatest common division (G.C.D) is also termed as highest common factor (H.C.F).

    For two positive integers (x,y) the greatest common divisor is defined as greatest positive number which is common divisor of both positive integers (x,y)

    Steps to find the Greatest Common Divisor:-

    For a set of two positive integers (x,y), we apply the following steps to find Greatest Common Divisor.

    1. Write all the divisors of the first number ‘x’.
    2. Write all the divisors of the second number ‘y’.
    3. Write all the common divisors of both ‘x’ and ‘y’.
    4. Now, find the divisor which is the highest among the common divisors.

    Let us apply these steps to find Greatest Common Divisor of 48 and 60.

    The Greatest Common Divisor of 48 and 60 can be calculated as follows:

    • Divisors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
    • Divisors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
    • Common Divisors of 48 and 60 = 1, 2, 3, 4, 6, 12.
    • Greatest common divisor = 12.

    Greatest Common Divisor of 48 and 60 is 12.

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