Find the HCF of 999 and 9999.

Given :

The given numbers are 999 and 9999.

To do :

We have to find the HCF of 999 and 9999.

Solution : 

To find the H.C.F. of the given numbers follows 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 the 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.

999) 9999 (10

          9990

      ----------

            9) 999 (111

                 999

              -------

                    0

              -------

Therefore,

HCF of 999 and 9999 is 9.

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Updated on: 10-Oct-2022

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