The Euclidean Algorithm, also known as Euclid’s Algorithm, is used in discrete mathematics to find the greatest common divisor of two natural numbers, namely \(a\) and \(b\). The greatest common divisor is typically denoted as \(gcd\left(a,b\right).\) In general, the Euclidean Algorithm is used within numerous applications like solving Diophantine equations, constructing continued fractions, and is even used when dividing in modular arithmetic.