👉 This mathematical concept revolves around the idea of finding the greatest common divisor (GCD) of two or more numbers, often referred to as the largest number that can evenly divide each of the given numbers without leaving a remainder. The Euclidean algorithm is a popular method to compute this, where one repeatedly applies the division algorithm, swapping the remainder with the divisor until the remainder is zero. The last non-zero remainder is the GCD. This concept is fundamental in number theory and has applications in simplifying fractions, solving linear Diophantine equations, and even in cryptography. For instance, when dividing two numbers, the GCD can help determine the simplest form of a fraction or solve problems involving periodicity and cycles.