Euclids Division Lemma

Euclid's Division Lemma

Real Numbers|Fundamental Theorem Of Arithmetic|Euclid's Division Lemma|Irrational Numbers

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Theorem 1.1 (Euclid’s Division Lemma) : Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 ≤ r leq b.

Euclid's division Lemma states that for two positive integers a and b, there exist unique integers q and r such that a=bq+r where r must satisfy.

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Euclid Division lemma

Proof of Euclid division lemma

Apply Euclid's division lemma with number 124 and 24.

Find the HCF of the following using Euclid division lemma 135 And 225