Gcd calculator. Free Online Greatest Common Divisor (GCD) calculator - Find the gcd of two or more numbers step-by-step 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. Note: The GCD (Greatest Common Divisor) or HCF (Highest Common Factor) of two numbers is the largest number that divides both of them. It is also called the highest common factor (HCF). Jul 29, 2025 · Given two positive integers a and b, the task is to find the GCD of the two numbers. The greatest common divisor (GCD), also called the greatest common factor, of two numbers is the largest number that divides them both. This case is important as the terminating step of the Euclidean algorithm. Two or more positive integers that have greatest common divisor 1 are said to be relatively prime to one The GCD is sometimes called the greatest common factor (GCF). 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|. 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|. A very useful property of the GCD is that it can be represented as a sum of the given numbers with integer coefficients. The Greatest Common Divisor (GCD) refers to the greatest number that is a common divisor for a given set of numbers. Use this page to calculate the gcd of a set of two or more numbers. The greatest common divisor (GCD) of two or more numbers is the greatest common factor number that divides them, exactly. 2 days ago · 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. . For instance, the greatest common factor of 20 and 15 is 5, since 5 divides both 20 and 15 and no larger number has this property. It is also termed as the Highest Common Factor (HCF) or the Greatest Common Factor (GCF). ycdo oyw axyh oglbh zfoe ihsjwia osq ajl ryko dmtdnke