View Euclid Division Lemma Example Pictures. Show that the square of an odd integer is of the form 4q + 1 , for some integer q. 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.

In The Proof Of Euclid S Division Lemma What Is The Point Of Having An Ap That Extends In Both Ways Mathematics Stack Exchange
In The Proof Of Euclid S Division Lemma What Is The Point Of Having An Ap That Extends In Both Ways Mathematics Stack Exchange from i.stack.imgur.com
For further explanation check this video out. Euclid's division algorithm is the process of applying euclid's division lemma in succession several times to obtain the hcf of any two numbers. 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.

For example, if p = 19, a = 133, b = 143.

Division algorithm is a method to compute the greatest common divisor of two numbers which is based on repeated application of euclid's divsion lemma until the remainder. A = bq + r. Euclid's division lemma (see above) guarantees the existence of q and r such that. Where value of r will be equal to = 0 and less than b.