GCD and LCM Using Recursion in C – Euclidean Algorithm

Posted on October 18, 2011June 29, 2026 by Sandeepa Nadahalli

This C program finds GCD and LCM using recursion with the Euclidean algorithm. The GCD (Greatest Common Divisor) is the largest number that divides both inputs with no remainder. The LCM (Least Common Multiple) is the smallest number divisible by both. Once the GCD is known, the LCM follows from a simple identity: GCD(a, b) …

GCD and LCM of Two Numbers in C – Euclid’s Algorithm

Posted on September 30, 2011June 29, 2026 by Sandeepa Nadahalli

The GCD (Greatest Common Divisor) and LCM (Least Common Multiple) of two integers in C are most efficiently found using Euclid’s algorithm. The algorithm repeatedly replaces the larger number with the remainder of dividing the two numbers until the remainder is zero — what remains is the GCD. The LCM then follows from the identity …