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Use Euclid's division algorithm to find the HCF of:
184, 230 and 276
Given: 184, 230 and 276.
To find: Here we have to find the HCF of the given numbers.
Solution:
First, let's find HCF of 184 and 230 using Euclid's division algorithm:
Using Euclid’s lemma to get:
- $230\ =\ 184\ \times\ 1\ +\ 46$
Now, consider the divisor 184 and the remainder 46, and apply the division lemma to get:
- $184\ =\ 46\ \times\ 4\ +\ 0$
The remainder has become zero, and we cannot proceed any further.
Therefore the HCF of 230 and 184 is the divisor at this stage, i.e., 46.
Now, let's find HCF of 46 and 276 using Euclid's division algorithm:
Using Euclid’s lemma to get:
- $276\ =\ 46\ \times\ 6\ +\ 0$
The remainder has become zero, and we cannot proceed any further.
Therefore the HCF of 46 and 276 is the divisor at this stage, i.e., 46.
So, HCF of 184, 230 and 276 is 46.
Updated on: 10-Oct-2022
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