History of Euclids Division Algorithm
In Book VII of Euclid's Elements, statement 30 is the first instance of the lemma. It is covered in almost every book that discusses basic number theory.
Integers were added as a generalisation of the lemma in Jean Prestet's textbook Nouveaux Elemens de Mathematiques in 1681.
Using Euclids division algorithm, the HCF of 196 and 38220 is 196. According to the Euclid's Division lemma, if there are two positive numbers a and b, then there must also be two separate integers q and r that meet the criteria.
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