GCD of 344, 138, 593 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 344, 138, 593 i.e. 1 largest integer that divides all the numbers equally.

GCD of 344, 138, 593 is 1

GCD(344, 138, 593) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 344, 138, 593 is 1

GCD(344, 138, 593) = 1

GCD of 344,138,593 Calculator

GCDof 344,138,593 is 1

Given Input numbers are 344, 138, 593

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Greatest Common Divisior

We found the divisors of 344, 138, 593 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 138, 593 is 1.

Therefore, GCD of numbers 344, 138, 593 is 1

Finding GCD of 344, 138, 593 using Prime Factorization

Given Input Data is 344, 138, 593

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 593 is 593

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 344, 138, 593 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(344, 138) = 23736

GCD(344, 138) = ( 344 x 138 ) / 23736

GCD(344, 138) = 47472 / 23736

GCD(344, 138) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 593

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 593) = 1186

GCD(2, 593) = ( 2 x 593 ) / 1186

GCD(2, 593) = 1186 / 1186

GCD(2, 593) = 1

GCD of 344, 138, 593 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 344, 138, 593

1. What is the GCD of 344, 138, 593?

GCD of 344, 138, 593 is 1


2. Where do I get the detailed procedure to find GCD of 344, 138, 593?

You can find a detailed procedure to find GCD of 344, 138, 593 on our page.


3. How to find GCD of 344, 138, 593 on a calculator?

You can find the GCD of 344, 138, 593 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.