Find the HCF of 196 and 38220 by using Euclid's division algorithm.
Answers
Answered by
59
As we know that,
Euclid's division algorithm-
a = bq+r
As we can see that
38220>196
Applying euclid's division algorithm in the given numbers-
We get:
38220 = 196×195+0
As we can see that,
The remainder at this stage has become zero.
Since,the divisor at this stage is 195.
Hence,
The HCF of 38220 and 196 is 195.
Answered by
22
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AnsWer:
- The HCF of 196 and 38220 by using Euclid's division algorithm is 195.
Need To Find:
- Find the HCF of 196 and 38220 by using Euclid's division algorithm.
Explanation:
Formula of Euclid's division algorithm:
- a = bq + r
Putting the values according to the given formula:
➠ a = 38220 and b = 195
➠ 38220 = 196 × 195 + 0
Hence:
- The remainder is 0.
Therefore:
- The HCF of 196 and 38220 by using Euclid's division algorithm is 195.
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