GCD of 107, 238, 24 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 107, 238, 24 i.e. 1 largest integer that divides all the numbers equally.

GCD of 107, 238, 24 is 1

GCD(107, 238, 24) = 1

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

GCD of

GCD of numbers 107, 238, 24 is 1

GCD(107, 238, 24) = 1

GCD of 107,238,24 Calculator

GCDof 107,238,24 is 1

Given Input numbers are 107, 238, 24

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Greatest Common Divisior

We found the divisors of 107, 238, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 238, 24 is 1.

Therefore, GCD of numbers 107, 238, 24 is 1

Finding GCD of 107, 238, 24 using Prime Factorization

Given Input Data is 107, 238, 24

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

Prime Factorization of 107 is 107

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 24 is 2 x 2 x 2 x 3

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

Finding GCD of 107, 238, 24 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(107, 238) = 25466

GCD(107, 238) = ( 107 x 238 ) / 25466

GCD(107, 238) = 25466 / 25466

GCD(107, 238) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

GCD of 107, 238, 24 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 107, 238, 24

1. What is the GCD of 107, 238, 24?

GCD of 107, 238, 24 is 1


2. Where do I get the detailed procedure to find GCD of 107, 238, 24?

You can find a detailed procedure to find GCD of 107, 238, 24 on our page.


3. How to find GCD of 107, 238, 24 on a calculator?

You can find the GCD of 107, 238, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.