MathsPlaying with NumbersHCFHCF of Three Numbers

HCF of Three Numbers

Table of Contents

  • HCF of 3 Numbers
  • Summary
  • What’s Next?

In the previous segment, we learnt how to find the HCF of 2 numbers using the prime factor method. In this segment, we will learn how to find the HCF of 3 numbers.

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    Finding HCF of three numbers by using prime factorisation method

    Let us understand how to find the HCF of three numbers using the prime factorisation method with the help of an example, say 54, 126, and 36, by the following steps:

    Step 1: Find the prime factors of the three numbers using the upside down method.

    54, 126, and 162 can be reduced to their prime factors as follows:

    2

    54

    2

    12

    2

    16

    3

    27

    3

    63

    3

    81

    3

    9

    3

    21

    3

    27

    3

    7

    3

    9

    3

    Step 2: Express the three numbers as a product of their prime factors.

    54 = 2 x 3 x 3 x 3

    126 = 2 x 3 x 3 x 7

    162 = 2 x 3 x 3 x 3 x

    3

    Step 3:Identify the prime factors common to each of the numbers.

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