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What is Euclid's Division Lemma.
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Euclid's Division Lemma: ... The basis of Euclidean division algorithm is Euclid's division lemma. To calculate the Highest Common Factor (HCF) of two positive integers a and b we use Euclid's division algorithm. HCF is the largest number which exactly divides two or more positive integers.
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· According to Euclid’s Division Lemma if we have two positive integers a and b, then there exist unique integers q and r which satisfies the condition a = bq + r where 0 ≤ r ≤ b. ... How can I prove the Euclid's Division Lemma? In a standard definition of the Euclid’s division lemma
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Answer:
Euclid's Division Lemma: ... The basis of Euclidean division algorithm is Euclid's division lemma. To calculate the Highest Common Factor (HCF) of two positive integers a and b we use Euclid's division algorithm. HCF is the largest number which exactly divides two or more positive integers.
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