HCF BY DIVISION METHOD

 HCF BY DIVISION METHOD



PREVIOUS KNOWLEDGE ABOUT DIVISION 

HCF BY DIVISION METHOD

To find the Highest Common Factor (HCF) using the division method, repeatedly divide the larger number by the smaller number, and take the remainder as the new divisor. This process continues until the remainder is zero. The last non-zero divisor is the HCF. 

    Steps:

1. Divide the larger number by the smaller number.

2. If there's a remainder, make it the new divisor and divide the previous divisor (now the dividend).

3. Repeat step 2 until the remainder is zero.

4. The divisor at the step where the remainder is zero is the HCF. 

Example: 

      1.  Find the HCF of 14 and 35 by division method

        


        HCF of 14 and 35 = 7

    2.  Find the HCF of 88 and 56 by division method

                    

                                         HCF of 88 and 56 = 8

    

     3.Find the HCF of 12, 75  and 45 by division method


                                HCF of  12, 75  and 45 = 3

 worksheet pdf given below

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