GCD of 117, 744, 50, 243 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 117, 744, 50, 243 i.e. 1 largest integer that divides all the numbers equally.

GCD of 117, 744, 50, 243 is 1

GCD(117, 744, 50, 243) = 1

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

GCD of

GCD of numbers 117, 744, 50, 243 is 1

GCD(117, 744, 50, 243) = 1

GCD of 117,744,50,243 Calculator

GCDof 117,744,50,243 is 1

Given Input numbers are 117, 744, 50, 243

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 117, 744, 50, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 744, 50, 243 is 1.

Therefore, GCD of numbers 117, 744, 50, 243 is 1

Finding GCD of 117, 744, 50, 243 using Prime Factorization

Given Input Data is 117, 744, 50, 243

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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

Finding GCD of 117, 744, 50, 243 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(117, 744) = 29016

GCD(117, 744) = ( 117 x 744 ) / 29016

GCD(117, 744) = 87048 / 29016

GCD(117, 744) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 50

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

LCM(3, 50) = 150

GCD(3, 50) = ( 3 x 50 ) / 150

GCD(3, 50) = 150 / 150

GCD(3, 50) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 117, 744, 50, 243 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 117, 744, 50, 243

1. What is the GCD of 117, 744, 50, 243?

GCD of 117, 744, 50, 243 is 1


2. Where do I get the detailed procedure to find GCD of 117, 744, 50, 243?

You can find a detailed procedure to find GCD of 117, 744, 50, 243 on our page.


3. How to find GCD of 117, 744, 50, 243 on a calculator?

You can find the GCD of 117, 744, 50, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.