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Find the HCF of the following pair of numbers:
105 and 120
Given: 105 and 120.
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:
- $120\ =\ 105\ \times\ 1\ +\ 15$
Now, consider the divisor 105 and the remainder 15, and apply the division lemma to get:
- $105\ =\ 15\ \times\ 7\ +\ 0$
The remainder has become zero, and we cannot proceed any further.
Therefore the HCF of 120 and 105 is the divisor at this stage, i.e., 15.
So, HCF of 105 and 120 is 15.
Updated on: 10-Oct-2022
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