Python Program to Find Two GCD Numbers

The Greatest Common Divisor in Mathematics is abbreviated to GCD. This number represents the largest value that has the ability to divide the two given numbers completely. It is also referred to as the greatest common factor or GCF in few cases. Let us consider an example of two numbers, 12 and 28. The numbers that can divide both of these numbers are 2 and 4. However, ‘4’ is the greatest number that can divide both 12 and 24 completely. Hence, the GCD of 12 and 24 is 4. The GCD can be found for any number of inputs. It is just the common largest number that can divide all the input numbers. Finding GCD of a number finds a wide range of applications in encryption technology. It is also used in the simplification of fractions. 

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gcd() in Python:

A built-in function exists in the Python interpreter’s math module that can compute the GCD of any two input numbers. This inbuilt function is the GCD() function. The gcd() function in Python accepts two parameters of integer type and returns an integer that is equivalent to the GCD value of the two input parameters. 

The general syntax of the gcd() function in Python is:


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The gcd() function accepts two parameters to compute the gcd. Both the parameters must be positive integers.

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Return value of gcd in Python:

The gcd() function in Python returns a positive integer whose value is equivalent to the greatest common divisor of the input parameters. 

Apart from using the gcd() function, there are several other methods and approaches to determine the GCD of two numbers in Python. The approaches include:

  • Determining GCD using recursions
  • Finding GCD using loops
  • Implementation of GCD using Euclidean Algorithm

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