\gcd(6, 6) = 6

Mon, 04 May 2026 05:30:29 +0000

Understanding GCD: Why GCD(6, 6) Equals 6 When exploring the fundamentals of number theory, one of the most essential concepts is the Greatest Common Divisor (GCD). Whether you’re solving math problems, learning programming basics, or studying for standardized tests, understanding GCD is crucial. A common question that arises is: Why is GCD(6, 6) equal to 6? This article breaks down the math behind this simple but foundational concept, explaining everything from prime factorization to real-world applications. ### What Is the Greatest Common Divisor (GCD)?
The GCD of two integers is defined as the largest positive integer that divides both numbers without leaving a remainder. In simpler terms, it’s the biggest number that both original numbers can share as a common factor. For example, the GCD of 8 and 12 is 4 because 4 is the largest number that divides both 8 and 12 evenly. ### Applying GCD to the Case of 6 and 6
Let’s analyze GCD(6, 6) step by step: