To determine whether a given number is prime, we need to check if it has factors others than one and itself. If we are able to find atleast one other factor, then we can conclude that the number is not prime. To check if a number is a factor of the given number hereafter referred to as nwe obtain the remainder on dividing n by the number. If the remainder is zero, then the number is a factor.

The GCD of two numbers is the largest positive integer that divides both the numbers fully i. Euclid's algorithm is an efficient way to find GCD of two numbers and it's pretty easy to implement using recursion in Java program.

The later case is the base case of our Java program to find GCD of two numbers using recursion.

You can also calculate greatest common divisor in Java without using recursion but that would not be as easy as the recursive version, but still a good exercise from coding interviews point of view. It's very easy to understand this algorithm once you look at the flow chart, which explains how Euclid's GCD algorithm works.

You can also read Introduction to Algorithm by Thomas Cormen to learn more about similar computer algorithms.

Java Program to find Power of a Number Using While Loop |
C Program to Find Factors of a Number by suresh The numbers that are completely divisible by the given number it means the remainder should be 0 are called as factors of a given number. |

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Find GCD of Two Numbers using Recursion in Java |
Write a program InversePermutation. Be sure to check that the input is a valid permutation. |

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This is one of the most popular books to learn Data structure and algorithms and widely used as textbooks for algorithms in many school, colleges, and universities. In Euclid's algorithm, we start with two numbers X and Y.

Once again we check if Y is zero, if yes then we have our greatest common divisor or GCD otherwise we keep continue like this until Y becomes zero. Let' take an example of calculating GCD of 54 and 24 using Euclid's algorithm. Since Y is still not zero, we again apply the logic.

Bingo, Y is now zero which means we have our answer and it's nothing but the value of X which is 6 six.

The algorithm will become clearer when you see the flow chart of calculating GCD of two numbers using recursion as shown below. Here is my complete code example of how to find GCD of two numbers in Java.

Thy must be an integer, so make sure you check the numbers entered by user e. This method will throw an error if the user will enter an invalid value instead of an integer.

You can use this Java program to prepare for viva or other computer homework and assignment test or for your self-practice to improve programming in Java.

BTW, there are a couple of other technique to find Greatest common divisor in Java, as an exercise you can explore those methods and write code for that. The key point is you need to learn how to convert an algorithm into code to become a programmer.

If you like this little programming exercise and hungry for more to improve your coding skill, check out these exercises, they will help to build your programming logic: Solution Write a function to find middle element of linked list in one pass?

Solution How to find Fibonacci sequence up to a given Number?This is a Java Program to Find Product of 2 Numbers using Recursion. Enter two integer numbers as an input. After that we pass the two given numbers along with zero to the other function where get numbers one by one to multiply with the help of recursion.

Oct 28, · C++ program to Find Factorial of a Number usin Loop | C++ programming tutorials for beginners - Duration: Simple Snippets 17, views. In this program, you are given an input N, which is a positive integer less than or equal to Write a program to find the sums of fourth powers of the first N numbers?

The numbers that are completely divisible by the given number (it means the remainder should be 0) are called as factors of a given number. In this article, we will show you, How to write a C Program to find Factors of a Number using FOR LOOP, WHILE LOOP, Pointers and FUNCTIONS. Write a java program to find all pairs of elements in the given array whose sum is equal to a given number.

For example, if {4, 5, 7, 11, 9, 13, 8, 12} is an array and 20 is the given number, then you have to find all pairs of elements in this array whose sum must be Write a C++ program to calculate a to the power b without using power function.

#include #include void main() { int. Articles. Electronics; Write a program to find power of a number (exponent value should be negative or 0.) Reply; Mayank Pathania September 14, Java Program to find the IP address of the Machine.

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