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Find the HCF of the following pair of numbers:
100 and 190
Given: 100 and 190.
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:
- $190\ =\ 100\ \times\ 1\ +\ 90$
Now, consider the divisor 100 and the remainder 90, and apply the division lemma to get:
- $100\ =\ 90\ \times\ 1\ +\ 10$
Now, consider the divisor 90 and the remainder 10, and apply the division lemma to get:
- $90\ =\ 10\ \times\ 9\ +\ 0$
The remainder has become zero, and we cannot proceed any further.
Therefore the HCF of 190 and 100 is the divisor at this stage, i.e., 10.
So, HCF of 100 and 190 is 10.
Updated on: 10-Oct-2022
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