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In euclids division lemma equation a=bq+r …

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In euclids division lemma equation a=bq+r why HCF of a and b =HCF of b and r

Posted by Birendra Mishra 5 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 6 months ago

It tells us about the divisibility of integers. It states that any positive integer ‘a’ can be divided by any other positive integer ‘ b’ in such a way that it leaves a remainder ‘r’.

Euclid's division Lemma states that for any two positive integers ‘a’ and ‘b’ there exist two unique whole numbers ‘q’ and ‘r’ such that , a = bq + r, where 0≤r<b.

Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.

Hence, the values 'r’ can take 0≤r<b.

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CBSE > Class 10 > Mathematics