GCD of 37, 638, 289, 129 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 37, 638, 289, 129 i.e. 1 largest integer that divides all the numbers equally.

GCD of 37, 638, 289, 129 is 1

GCD(37, 638, 289, 129) = 1

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

GCD of

GCD of numbers 37, 638, 289, 129 is 1

GCD(37, 638, 289, 129) = 1

GCD of 37,638,289,129 Calculator

GCDof 37,638,289,129 is 1

Given Input numbers are 37, 638, 289, 129

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 37, 638, 289, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 638, 289, 129 is 1.

Therefore, GCD of numbers 37, 638, 289, 129 is 1

Finding GCD of 37, 638, 289, 129 using Prime Factorization

Given Input Data is 37, 638, 289, 129

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

Prime Factorization of 37 is 37

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 289 is 17 x 17

Prime Factorization of 129 is 3 x 43

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

Finding GCD of 37, 638, 289, 129 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(37, 638) = 23606

GCD(37, 638) = ( 37 x 638 ) / 23606

GCD(37, 638) = 23606 / 23606

GCD(37, 638) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 37, 638, 289, 129 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 37, 638, 289, 129

1. What is the GCD of 37, 638, 289, 129?

GCD of 37, 638, 289, 129 is 1


2. Where do I get the detailed procedure to find GCD of 37, 638, 289, 129?

You can find a detailed procedure to find GCD of 37, 638, 289, 129 on our page.


3. How to find GCD of 37, 638, 289, 129 on a calculator?

You can find the GCD of 37, 638, 289, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.