Euclidean Algorithms

The Euclidean Algorithm is a method used to find the greatest common divisor (GCD) of two numbers—the largest number that evenly divides both. It works by repeatedly subtracting the smaller number from the larger or using division to find remainders until reaching zero. The last non-zero remainder is the GCD. This process efficiently determines common factors and has applications in simplifying fractions and solving other mathematical problems involving divisibility.