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Highest Common Factor


The Highest Common Factor is the largest factor common to two or more numbers. Even at the basic mathematics level it may be abbreviated to H.C.F. in questions, so ensure your student is familar with this presentation also.

To find the HCF of a group of numbers you follow these simple steps:

  • Identify the largest number common to ALL the numbers


  • Step 1: Find all the factors of each number

    Factors of 10
    1 x 10
    2 x 5
    Factors of 25
    1 x 25
    5 x 5


    Step 2: Identify the largest number common to ALL the numbers

    Factors of 10
    1 x 10
    2 x 5
    Factors of 25
    1 x 25
    5 x 5


    Although 10 and 25 are obviously larger factors than 5, they are not COMMON to both numbers.

    Answer: HCF of 10 and 25 = 5

    This skill is a must to master before venturing into comparing and ordering fractions with different sized denominators.







    I hope you enjoy this section of K6Math.com

    To practice this skill print off some of the Highest Common Factor worksheets at our printable fraction worksheets section. Move from this Highest Common Factor page to printable math worksheets home page or K6Math numbers section.


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Fraction Concepts Proper Fractions Improper Fractions Mixed Numbers Comparing Fractions Ordering Fractions Equivalent Fractions Simplifying/Reducing Fractions Adding Fractions Subtracting Fractions Multiplying Fractions Dividing Fractions Highest Common Factor Lowest Common Multiple Convert Fractions to Decimals

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Percentage of a Number







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