Euclidean algorithm


Definition of Euclidean algorithm

: a method of finding the greatest common divisor of two numbers by dividing the larger by the smaller, the smaller by the remainder, the first remainder by the second remainder, and so on until exact division is obtained whence the greatest common divisor is the exact divisor

called also Euclid's algorithm

First Known Use of Euclidean algorithm

circa 1955, in the meaning defined above

Keep scrolling for more

Learn More about Euclidean algorithm

Time Traveler for Euclidean algorithm

Time Traveler

The first known use of Euclidean algorithm was circa 1955

See more words from the same year

Statistics for Euclidean algorithm

Cite this Entry

“Euclidean algorithm.” Dictionary, Merriam-Webster, Accessed 11 Apr. 2021.

Style: MLA
MLACheck Mark Icon ChicagoCheck Mark Icon APACheck Mark Icon Merriam-WebsterCheck Mark Icon

Comments on Euclidean algorithm

What made you want to look up Euclidean algorithm? Please tell us where you read or heard it (including the quote, if possible).


Test Your Vocabulary

The Exceptions Quiz III

  • one green toy robot amidst many red toy robots
  • Which of these words does not mean "nonsense"?
True or False

Test your knowledge - and maybe learn something along the way.

 AlphaBear 2

Spell words. Make bears.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!