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.
Algoritma Euclid prasida kaanggén antuk muputang persamaan Diophantine, sakadi manggihin wilangan sané nagingin makudang-kudang kongruensi manut teorema sisa Cina, anggén ngwangun pecahan selanturnyané, miwah anggén manggihin pendekatan rasional sané akurat anggén wilangan asli.