Question

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What Is Euclid's Division Lemma?....❤️​

Answer 1

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${\huge{\red{\underline{\underline{\mathcal Euclid's Division lemma}}}}}$

By dividing both the integers x and y the remainder is zero. Definition: Euclid's Division Lemma states that, if two positive integers “a” and “b”, then there exists unique integers “q” and “r” such that which satisfies the condition a = bq + r where 0 ≤ r ≤ b.

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Answer 2

Answer:

In arithmetic, Euclidean division — or division with remainder — is the process of dividing one integer by another, in such a way that produces a quotient and a remainder smaller than the divisor. Its main property is that the quotient and the remainder exist and are unique, under some conditions.

Step-by-step explanation:

This is true for any two positive integers and is referred to as Euclid's Division Lemma. It states that: Given positive integers m and n, there exist two unique integers q and r, satisying m = nq + r, where 0 ≤ r < n.