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Use Euclid's division algorithm to find the HCF of:
135 and 225
Given: 135 and 225.
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:
- $225\ =\ 135\ \times\ 1\ +\ 90$
Now, consider the divisor 135 and the remainder 90, and apply the division lemma to get:
- $135\ =\ 90\ \times\ 1\ +\ 45$
Now, consider the divisor 90 and the remainder 45, and apply the division lemma to get:
- $90\ =\ 45\ \times\ 2\ +\ 0$
The remainder has become zero, and we cannot proceed any further.
Therefore the HCF of 225 and 135 is the divisor at this stage, i.e., 45.
So, HCF of 135 and 225 is 45.
Updated on: 10-Oct-2022
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