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Question

What is the Euclid's Division LemmLemma

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Solution

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 .

Eg

If we have two integers a=27 and b=4

Then 27= 4×6 + 3,

Where q= 6 and r= 3(less than b=4) are also integers.


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