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 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 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.
The Greatest Common Divisor (GCD), also known as the Highest Common Factor (HCF), is the greatest number that divides a set of numbers without leaving a remainder. For example, the GCD of 4 and 6 is 2, as it divides both numbers and is the largest of all their factors.
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The meaning and full form of GCD is the Greatest Common Divisor. So, GCD is the greatest positive number which is a common divisor for a given set of positive numbers.
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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.