Find the HCF of the following by the successive division method.546, 728, 1092.

Given :

The given numbers are 546, 728, 1092.

To do:

We have to find the HCF by the successive 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 the smaller ones.
2. Divide a smaller number in step 1 with the remainder obtained in step 1.
3. Divide divisor of the second step with the 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.

546,728,1092

546)728(1

         546

      ---------

         182)546(3

                  546

                ------

                   0

                ------

182)1092(6

         1092

     ----------

          0

    ---------

Therefore,

HCF of 546,728 and 1092 is 182.

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Updated on: 10-Oct-2022

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