Use Euclid's division algorithm to find the HCF of:
196 and 38220


Given: 196 and 38220.

To find: Here we have to find the HCF of the given numbers.


Solution:

Using Euclid's division algorithm to find HCF:

Using Euclid’s lemma to get: 
  • $38220\ =\ 196\ \times\ 195\ +\ 0$

The remainder has become zero, and we cannot proceed any further. 

Therefore the HCF of 38220 and 196 is the divisor at this stage, i.e., 196.


So, HCF of 196 and 38220 is 196.

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Updated on: 10-Oct-2022

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