Calculators & Converters
    GCF - Highest Common Factor
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    GCF :




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    What is GCF?

    GCF is the short term for Greatest Common Factor, also known as Highest Common Factor (HCF) is a basic function in mathematics, generally a relative measure of largest positive integer that divides each number in a respective group of two or more numbers. It's an important & frequently used math function to reducing the fractions to the lowest terms.
    Solved Example :

    Beginners or grade school students may refer the below solved example or work with step by step calculation to learn how to find what is the GCF of two or more numbers. Example Problem & Solution :
    Example Problem :
    Find the GCF of 4, 6, 8, 12?
    Solution :
    step 1 Address input parameter & values.
    4 5 8 12
    gcf (4, 6, 8 and 12) = ?

    step 2 Find the prime factors of all integer group
    4 = 2 x 2
    6 = 3 x 2
    8 = 2 x 2 x 2 x 2
    12 = 2 x 2 x 3

    step 3 Take the common prime factors out from all the integers across group and multiply them to find the GCF of group of integers. The HCF is 1, if there is no common prime factors across all the integers or if any one integer in the group is a prime number.

    The common factor across all integer is 2.
    gcf (4, 6, 8 and 12) = 2

    2 is the greatest common factor for 4, 6, 8, 12

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