The Euclidean algorithm may be used to solve Diophantine equations, such as finding numbers that satisfy multiple congruences according to the Chinese remainder theorem, to construct continued fractions, and to find accurate rational approximations to real numbers.
Algorithme euclidien adoben adiqil amitkalan fal kanan ən taqinen dioɗhantiennetan, dǎɣ milahaw fal adigriwan imaɗinan wi sagdahnen ən əongruenəetan animatafnen dǎɣ tabarat tan əhinoistan wi dakimanen , fal adiqinan inamawarnen okaynen əd fal adigriwan ahazan ən rationnelletan təɣidnen imaɗinan atiwasanen.