Explain Euclid's division lemma.
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Euclid's division lemma states that for any two positive integers, say 'a' and 'b', the condition 'a = bq +r', where 0 ≤ r < b always holds true. Mathematically, we can express this as 'Dividend = (Divisor × Quotient) + Remainder. Euclid a Greek mathematician devised Euclid's division lemma.
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Step-by-step explanation:
Euclid’s Division Lemma simply says that given two positive integers, 'a' and 'b', there exist unique integers, 'q' and 'r', such that: a = bq+r, where 0 ≤r <b.
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