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Find the HCF of the following pair of numbers:
475 and 495
Given: 475 and 495.
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:
- $495\ =\ 475\ \times\ 1\ +\ 20$
Now, consider the divisor 475 and the remainder 20, and apply the division lemma to get:
- $475\ =\ 20\ \times\ 23\ +\ 15$
Now, consider the divisor 20 and the remainder 15, and apply the division lemma to get:
- $20\ =\ 15\ \times\ 1\ +\ 5$
Now, consider the divisor 15 and the remainder 5, and apply the division lemma to get:
- $15\ =\ 5\ \times\ 3\ +\ 0$
The remainder has become zero, and we cannot proceed any further.
Therefore the HCF of 495 and 475 is the divisor at this stage, i.e., 5.
So, HCF of 475 and 495 is 5.
Updated on: 10-Oct-2022
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