GCD Calculator
GCD calculator to find the highest common factor of two or more numbers, that divides each number in a group of two or more integers. It is an important algebra function used to reduce fractions to their lowest terms or simplify ratios. Users can also generate step-by-step solution using easiest method to find the Greatest Common Divisor involving 2 integers.
- Find the HCF for two numbers or integers
- Find the HCF for three or more numbers or integers
- Generate step-by-step workouts for HCF problems
What is GCD?
GCD is the short term for Greatest Common Divisor, also known as Highest Common Factor (HCF) or Greatest Common Factor (GCD), is a relative measure of largest positive integer that divides each number in a respective group of two or more numbers. It's an important and frequently used math function to reducing the fractions to the lowest terms.
The common prime factor or the product of 2 or more common prime factors between the group integers is the Greatest Common Factor of that group. The GCD becomes 1, if there is no common factor between the integers.
GCD Solved Example :Beginners or grade school students may refer the below solved example or work with step by step calculation to learn how to find what is the GCD of two or more numbers. Users can generate similar workout for more worksheet problems by using this GCD calculator.
GCD Step-by-step Solution :
Example Problem :
Find the GCD of 4, 6, 8, 12?
Solution :
step 1 Address input parameter and values.
Integers: 4 6 8 12
gcf (4, 6, 8 and 12) = ?
step 2 Find the prime factors of all integer group
4 = 2 x 2
6 = 3 x 2
8 = 2 x 2 x 2 x 2
12 = 2 x 2 x 3
step 3 The product of all common prime factors is the greatest common divisor of 4, 6, 8 and 12.
gcf (4, 6, 8, 12) = 2
The greatest common factor for 4, 6, 8, 12 is 2
