When one of a and b is zero, the GCD is the absolute value of the nonzero integer: gcd (a, 0) = gcd (0, a) = |a|. This case is important as the terminating step of the Euclidean algorithm.

The Greatest Common Factor (GCD) of two numbers is the largest possible number which divides both the numbers exactly. Understand the GCD formula using solved examples and FAQs.

Jul 23, 2025 · The GCD (Greatest Common Divisor), also known as the HCF (Highest Common Factor), is the largest positive integer that divides two or more numbers without leaving a remainder.

The greatest common divisor (GCD), also called the greatest common factor, of two numbers is the largest number that divides them both. For instance, the greatest common factor of 20 and 15 is 5, …

Aug 1, 2025 · The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder.

What is the GCD? The GCD (short for greater common divisor) is a useful mathematical concept: it is the largest number that divides exactly all the numbers in a set. The GCD is defined for every …

The GCD is sometimes called the greatest common factor (GCF). A very useful property of the GCD is that it can be represented as a sum of the given numbers with integer coefficients.

Dec 3, 2025 · The greatest common divisor GCD (a,b,c,...) can also be defined for three or more positive integers as the largest divisor shared by all of them. Two or more positive integers that have greatest …

GCD stands for Greatest Common Divisor, and it’s just a fancy way of asking: “What’s the biggest number that can divide two or more numbers without leaving a remainder?” In simple terms, the …

The greatest common divisor (GCD), also known as the highest common factor (HCF), is the largest positive integer that divides each of two or more integers without leaving a remainder.