The Euclidean algorithm is a method for finding the greatest common divisor (GCD) of two integers, which is the largest positive integer that divides both numbers without leaving a remainder. This algorithm is essential in number theory, as it provides a systematic way to compute the GCD and has implications for various mathematical concepts such as fractions, modular arithmetic, and divisibility.
congrats on reading the definition of Euclidean algorithm. now let's actually learn it.