use Euclid division algorithm to find HCF of 250 and 75
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4
Answer:
Finding HCF of 250, 175 and 425. By using Euclid's division algorithm,. 425 = 250 x 1 + 175. 250 = 175 x 1 + 75. 175 = 75 ...
Step-by-step explanation:
Finding HCF of 250, 175 and 425.
By using Euclid's division algorithm,
425 = 250 x 1 + 175
250 = 175 x 1 + 75
175 = 75 x 2 + 25
75 = 25 x 3 + 0
HCF(250, 175, 425) = 25
Hence, HCF of 250, 175 and 425 is 25
Answered by
1
Answer:
Euclid's Division Algorithm:
According to Euclid's Division Lemma if we have two positive integers a and b, then there exists unique integers q and r which satisfies the condition a= bq +r where 0 ≤ r≤ b.
HCF of 250,175,425 by Euclid's Division algorithm:
As clearly, 450>250>175
425 = 250 × 1 × 175
250= 175 ×1 ×75
175 = 75 × 2 +25
75 = 25 × 3+0
[ Division shown in attachment]
we need to keep on dividing until we get 0 as the remainder.
Hence, the HCF of 250,175,425 is 25
Step-by-step explanation:
hope this helps
Attachments:
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