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21 June, 14:46

Write a code that calculates the Greatest Common Divisor (GCD) of two positive integers (user-defined inputs). Include an exception such that if their greatest common divisor equals to 1, it prints out the message, saying its GCD is 1.

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  1. 21 June, 17:23
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    This program is written using Java programming language

    import java. util.*;

    public class calcGcd

    {

    public static void main (String [] args)

    {

    int num1, num2;

    Scanner input = new Scanner (System. in);

    //Input two integers

    num1 = input. nextInt ();

    num2 = input. nextInt ();

    //Get least of the two integers

    int least = num1;

    if (num1 > num2)

    {

    least = num2;

    }

    //Initialize gcd to 1

    int gcd = 1;

    //Calculate gcd using for loop

    for (int i=1; i<=least; i++)

    {

    if (num1%i = = 0 && num2%i = = 0)

    {

    gcd = i;

    }

    }

    if (gcd = = 1)

    {

    System. out. print ("GCD is 1");

    }

    else

    {

    System. out. print ("GCD is "+gcd);

    }

    }

    }

    Explanation:

    To calculate the GCD, the program uses a for loop that iterates from 1 to the smaller number of the user input.

    Within this iteration, the program checks for a common divisor of the two user inputs by the iterating element

    The GCD is then displayed afterwards;

    However, if the GCD is 1; the program prints the message "GCD is 1"

    Line by Line Explanation

    This line declares two integer numbers

    int num1, num2;

    This line allows user the program to accept user defined inputs

    Scanner input = new Scanner (System. in);

    The next two line allows gets inputs from the user

    num1 = input. nextInt ();

    num2 = input. nextInt ();

    To calculate the GCD, the smaller of the two numbers is needed. The smaller number is derived using the following if statement

    int least = num1;

    if (num1 > num2)

    {

    least = num2;

    }

    The next line initializes GCD to 1

    int gcd = 1;

    The GCD is calculated using the following for loop

    The GCD is the highest number that can divide both numbers

    for (int i=1; i<=least; i++)

    {

    if (num1%i = = 0 && num2%i = = 0)

    {

    gcd = i;

    }

    }

    The following is printed if the calculated GCD is 1

    if (gcd = = 1)

    {

    System. out. print ("GCD is 1");

    }

    Otherwise, the following is printed

    else

    {

    System. out. print ("GCD is "+gcd);

    }
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