GCD of 37, 429, 838, 189 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, 429, 838, 189 i.e. 1 largest integer that divides all the numbers equally.

GCD of 37, 429, 838, 189 is 1

GCD(37, 429, 838, 189) = 1

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

GCD of

GCD of numbers 37, 429, 838, 189 is 1

GCD(37, 429, 838, 189) = 1

GCD of 37,429,838,189 Calculator

GCDof 37,429,838,189 is 1

Given Input numbers are 37, 429, 838, 189

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 37, 429, 838, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 429, 838, 189 is 1.

Therefore, GCD of numbers 37, 429, 838, 189 is 1

Finding GCD of 37, 429, 838, 189 using Prime Factorization

Given Input Data is 37, 429, 838, 189

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

Prime Factorization of 37 is 37

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 838 is 2 x 419

Prime Factorization of 189 is 3 x 3 x 3 x 7

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

Finding GCD of 37, 429, 838, 189 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, 429) = 15873

GCD(37, 429) = ( 37 x 429 ) / 15873

GCD(37, 429) = 15873 / 15873

GCD(37, 429) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 37, 429, 838, 189 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 37, 429, 838, 189

1. What is the GCD of 37, 429, 838, 189?

GCD of 37, 429, 838, 189 is 1


2. Where do I get the detailed procedure to find GCD of 37, 429, 838, 189?

You can find a detailed procedure to find GCD of 37, 429, 838, 189 on our page.


3. How to find GCD of 37, 429, 838, 189 on a calculator?

You can find the GCD of 37, 429, 838, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.