Python Program to Find G.C.D Using Recursion

In this python tutorial, you will learn how to Find G.C.D Using Recursion with the if and else statement along with the different operators of the python programming language.

How to Find G.C.D Using Recursion?

Let’s take a look at the source code , here the values are given as input by the user in the code, the if and else statements along with the assignment operators carry out the function.

# Python Program to Find G.C.D Using Recursion 

def hcf(a, b):
    if(b == 0):
        return a
    else:
        return hcf(b, a % b)

a = int(input("Enter the first integer: "))
b = int(input("\nEnter the second integer: "))

print("\nThe gcd of the two numbers is : ", end="")
print(hcf(a, b))

INPUT:

50
38

OUTPUT:

Enter the first integer: 
Enter the second integer: 
The gcd of the two numbers is : 12

1. At the start, we use def hcf(a, b): where the def keyword is used to define a function and hcf is used to call the function to get the value of the variable n.
2. We declare an if statement with the condition (b == 0) where if it is satisfied, using the return function we return the value of n, if the condition is not satisfied, it moves to the next step which is the else statement where the value obtained after the execution of the equation hcf(b, a % b) is returned using the return function.
3. Here we give the user the option to enter the values and the input values are scanned using the input function and are stored in the variables a and b with the statements/strings ("Enter the first integer: ") and ("Enter the second integer: "), we use the int function and declare the  input value as an integer value.
4. In the STDIN section of the code editor the input values are entered.
5. We declare a print function which will display the statement ("\nThe gcd of the two numbers is : ", end="") after which we declare another print function with the statement (hcf(a, b)) where the function hcf will display the values which the variables (a, b) will hold. The end function in the above line of code gives the position where the last line of code should be displayed.

NOTE:

• The end parameter in python is used to append any string at the end of the output of the print statement.
• The input() function allows a user to insert a value into a program, it returns a string value.
• The if and else statements evaluates whether an expression is true or false. If a condition is true, the “if” statement is executed otherwise, the “else” statement is executed.
• The == equality is a comparison operator which returns True is the two items are equal and returns False if not equal.
• The Modulo operator (%) calculates the remainder of dividing two values.
• The colon : at the end of the if and else statement tells Python that the next line of code should only be run if the condition is true.
• The statement for the input function are enclosed in single quotes and parenthesis.
• The \n in the code indicates a new line or the end of a statement line or a string.
• The print statement/string to be displayed in enclosed in double quotes.