Find HCF of 71 and 190 by Euclid's Division Lemma Please be fast!!!
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Step-by-step explanation:
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Answer:
- The divisor at this stage, i. e, 1 is the HCF of 190 and 71.
Given :
- 71 and 190
To find :
- HCF of 71 and 190 by Euclid's Division Lemma =?
Step-by-step explanation:
Clearly, 190 > 71
Applying the Euclid's division lemma to 190 and 71, we get
190 = 71 x 2 = 48
Since the remainder 48 ≠ 0, we apply the Euclid's division lemma to divisor 71 and remainder 48 to get
71 = 48 x 1 + 23
We consider the new divisor 48 and remainder 23 and apply the division lemma to get
48 = 23 x 2 + 2
We consider the new divisor 23 and remainder 2 and apply the division lemma to get
23 = 2 x 11 + 1
We consider the new divisor 2 and remainder 1 and apply the division lemma to get
2 = 1 x 2 + 0
Now, the remainder at this stage is 0.
So, the divisor at this stage, i. e, 1 is the HCF of 190 and 71.
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