# Write a program to find hcf and lcm of two numbers

How to find lcm and HCF of a given number? How to find lcm using the method of prime factorization? The concept of lcm is extremely important in number theory and can be easily applied to problems related to work-time, speed-distance, and speed-time. It is mostly used in solving numerical problems such as finding the time taken for two lights to blink together or the ones based on circular tracks where we need to find the time at which the two runners meet. 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. 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?The LCM of two integers n1 and n2 is the smallest positive integer that is perfectly divisible by both n1 and n2 (without a remainder). For example: the LCM of . This C Program calculates the GCD and LCM of two integers.

Here GCD means Greatest Common Divisor. For two integers a and b, if there are any numbers d so that a / d and b / d doesn’t have any remainder, such a number is called a common divisor. The numbers that these two lists share in common are the common divisors (factors) of 54 and 1, 2, 3, 6. The greatest (highest) of these is 6.

## How to find GCD of two numbers in Java - Euclid's algorithm | Java67

That is the greatest common divisor or the highest common factor of 54 and Assembly Language Program to find GCD of two numbers DATA SEGMENT NUM1 DW AH NUM2 DW H GCD DW?

DATA ENDS CODE SEGMENT ASSUME CS: CODE, DS: DATA START: MOV AX, DATA ;Load the Data to AX. Sep 04,  · If you guys have any queries or problems with me programs you can comment about them in the comments section of the particular program. You can also ask me for any programs you want in any of the comments section and I will post the program on the blog as soon as possible!!

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C program to find LCM of two numbers - Codeforwin