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Using Euclid division algorithm find whether …

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Using Euclid division algorithm find whether the pair of numbers 847,2160 are co prime or not?

Posted by Vishakha Thakur 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Here we have to find out HCF of 2160 and 847 by Using Euclid’s division Lemma, we get
2160 = 847{tex}\times{/tex}2 + 466
Also 847 = 466{tex}\times{/tex}1 + 381
466 = 381{tex}\times{/tex}1 + 85
381 = 85{tex}\times{/tex}4 + 41
85 = 41{tex}\times{/tex}2 + 3
41=3{tex}\times{/tex}13 + 2
3 = 2{tex}\times{/tex}1 + 1
2 = 1{tex}\times{/tex}2 + 0
{tex}\therefore{/tex}HCF = 1.
Hence the numbers are co-prime.

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