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gcd () in Python

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Naive methods for calculating gcd

  1. Using recursion :
  2. # Python code to demonstrate naive
    # method for calculating gcd (recursion)

     

    def hcfnaive (a, b):

    if (b = = 0 ):

    return a

    else :

    return hcfnaive (b, a % b)

      

    a = 60

    b = 48

      
    # prints 12

    print ( "The gcd of 60 and 48 is:" , end = "")

    print (hcfnaive ( 60 , 48 ))

    Output:

     The gcd of 60 and 48 is: 12 

  3. Using

    # Python code to demonstrate naive
    # method for calculating gcd (Loops)

     

     

    def computeGCD (x, y):

     

    if x" y:

    small = y

    else :

    small = x

      for i in range ( 1 , small + 1 ):

      if ((x % i = = ) and (y % i = = 0 )):

    gcd = i

      

    return gcd

     

    a = 60

    b = 48

     
    # prints 12

    print ( " The gcd of 60 and 48 is: " , end = " ")

    print (computeGCD ( 60 , 48 ))

    Output:

     The gcd of 60 and 48 is: 12 
  4. Using the

    # Python code to demonstrate naive
    # method for calculating gcd (euclidean algo)

     

     

    def computeGCD (x, y):

     

    while (y):

    x , y = y, x % y

     

    return x

     

    a = 60

    b = 48

      
    # prints 12

    print ( "The gcd of 60 and 48 is:" , end = " ")

    print (computeGCD ( 60 , 48 ))

    Output:

     The gcd of 60 and 48 is: 12 
  5. Using the Python math.gcd () function

    Using gcd () can evaluate the same gcd in just one line.

      math.gcd (x, y)   Parameters:  x: Non-negative integer whose gcd has to be computed. y: Non-negative integer whose gcd has to be computed.  Return Value:  This method will return an absolute / positive integer value after calculating the GCD of given parameters x and y.  Exceptions:  When Both x and y are 0, function returns 0, If any number is a character, Type error is raised. 

    # Python code for demonstrating gcd ()
    # method for calculating gcd

     

    import math

     
    # prints 12

    print ( "The gcd of 60 and 48 is:" , end = "")

    print (math.gcd ( 60 , 48 ))

    Output:

     The gcd of 60 and 48 is: 12 

     

    Common exceptions

    Some common exceptions in this function:

  • Both numbers are 0, gcd is 0
  • If only one number is not a number, a type error occurs.

# Python code to demonstrate gcd ()
# method exceptions

 

import math

 
# prints 0

print ( "The gcd of 0 and 0 is: " , end = " ")

print (math.gcd ( 0 , 0 ))

  
# Throws an error

print ( " The gcd of a and 13 is: " , end = "")

print ( math.gcd ( ’a’ , 13 ))

Output:

 The gcd of 0 and 0 is: 0 The gcd of a and 13 is: 

Runtime error:

 Traceback (most recent call last) : File "/home/94493cdfb3c8509146254862d12bcc97.py", line 12, in print (math.gcd (’a’, 13)) TypeError:’ str’ object cannot be interpreted as an integer 

This article is provided by Manjeet Singh . If you are as Python.Engineering and would like to contribute, you can also write an article using contribute.python.engineering or by posting an article contribute @ python.engineering. See my article appearing on the Python.Engineering homepage and help other geeks.

Please post comments if you find anything wrong or if you’d like to share more information on the topic discussed above.

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