Math, asked by sakshu9147, 11 months ago

Define Euclid's Division Lemma.

Answers

Answered by Anonymous
7
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.

The basis of the 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. By exactly we mean that on dividing both the integers a and b the remainder is zero.

Answered by sandhyakodali25
9

Answer:

Given positive integers a and b, there exist unique integers q and r satisfying a=bq+r, 0< r < b.

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