Find the HCF by long division method 135 and 225.

Given :

The given numbers are 135 , 225

To find :

We have to find the HCF by long division method

Solution :

To find the H.C.F. of the given numbers by division method follow the below steps:

1. Divide the bigger number by smaller one.
2. Divide smaller number in step 1 with remainder obtained in step 1.
3. Divide divisor of second step with remainder obtained in step 2.
4. Continue this process till you get remainder zero and the divisor obtained in the end is the required H.C.F.

HCF of 135 and 225 is,

135)225(1

         135

         ------

            90)135(1

                     90

                    ----

                      45)90(2

                             90

                             ----

                               0

Therefore, the HCF of 135 and 225 is 45.

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Updated on: 10-Oct-2022

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