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Using Euclid's Division Algorithm Prove that …

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Using Euclid's Division Algorithm Prove that 847,2160 are co-prime number

Posted by Vivek Gahlot 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 6 months ago

Co-primes are 2 numbers which have only one as a common factor.
a = 2160
b = 847
By Euclid's lemma a=bq+r, 0≤r<b

2160 = 847 × 2 + 466
847 = 466 × 1 + 381
466 = 381 × 1 + 85
381 = 85 × 4 + 41
85 = 41 × 2 + 3
41 = 3 × 13 + 2
3 = 2 × 1 + 1
2 = 1 × 2 + 0

As 1 is the HCF of 847 and 2160.
∴ 847 and 2160 are co-primes as they have only 1 as their HCF.

1Thank You

ANSWER

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