state the euclid's division Lemma
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Euclid's division lemma, states that for any two positive integers 'a' and 'b' we can find two whole numbers 'q' and 'r' such that a = b × q + r where 0 ≤ r < b. Euclid's division lemma can be used to find the highest common factor of any two positive integers and to show the common properties of numbers.
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Given positive integers a and b, there exist unique integers p and q satisfying a=bq+r where 0≤ r≤b
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