GCD of 57, 675, 426, 238 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 57, 675, 426, 238 i.e. 1 largest integer that divides all the numbers equally.

GCD of 57, 675, 426, 238 is 1

GCD(57, 675, 426, 238) = 1

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

GCD of

GCD of numbers 57, 675, 426, 238 is 1

GCD(57, 675, 426, 238) = 1

GCD of 57,675,426,238 Calculator

GCDof 57,675,426,238 is 1

Given Input numbers are 57, 675, 426, 238

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 238

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

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

Greatest Common Divisior

We found the divisors of 57, 675, 426, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 675, 426, 238 is 1.

Therefore, GCD of numbers 57, 675, 426, 238 is 1

Finding GCD of 57, 675, 426, 238 using Prime Factorization

Given Input Data is 57, 675, 426, 238

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 238 is 2 x 7 x 17

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

Finding GCD of 57, 675, 426, 238 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(57, 675) = 12825

GCD(57, 675) = ( 57 x 675 ) / 12825

GCD(57, 675) = 38475 / 12825

GCD(57, 675) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 426

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

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

GCD(3, 426) = 1278 / 426

GCD(3, 426) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 238

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

LCM(3, 238) = 714

GCD(3, 238) = ( 3 x 238 ) / 714

GCD(3, 238) = 714 / 714

GCD(3, 238) = 1

GCD of 57, 675, 426, 238 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 57, 675, 426, 238

1. What is the GCD of 57, 675, 426, 238?

GCD of 57, 675, 426, 238 is 1


2. Where do I get the detailed procedure to find GCD of 57, 675, 426, 238?

You can find a detailed procedure to find GCD of 57, 675, 426, 238 on our page.


3. How to find GCD of 57, 675, 426, 238 on a calculator?

You can find the GCD of 57, 675, 426, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.