GCD of 429, 637, 342, 229 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 429, 637, 342, 229 i.e. 1 largest integer that divides all the numbers equally.

GCD of 429, 637, 342, 229 is 1

GCD(429, 637, 342, 229) = 1

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

GCD of

GCD of numbers 429, 637, 342, 229 is 1

GCD(429, 637, 342, 229) = 1

GCD of 429,637,342,229 Calculator

GCDof 429,637,342,229 is 1

Given Input numbers are 429, 637, 342, 229

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

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 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 429, 637, 342, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 637, 342, 229 is 1.

Therefore, GCD of numbers 429, 637, 342, 229 is 1

Finding GCD of 429, 637, 342, 229 using Prime Factorization

Given Input Data is 429, 637, 342, 229

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 229 is 229

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

Finding GCD of 429, 637, 342, 229 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(429, 637) = 21021

GCD(429, 637) = ( 429 x 637 ) / 21021

GCD(429, 637) = 273273 / 21021

GCD(429, 637) = 13


Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 342

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

LCM(13, 342) = 4446

GCD(13, 342) = ( 13 x 342 ) / 4446

GCD(13, 342) = 4446 / 4446

GCD(13, 342) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 429, 637, 342, 229 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 429, 637, 342, 229

1. What is the GCD of 429, 637, 342, 229?

GCD of 429, 637, 342, 229 is 1


2. Where do I get the detailed procedure to find GCD of 429, 637, 342, 229?

You can find a detailed procedure to find GCD of 429, 637, 342, 229 on our page.


3. How to find GCD of 429, 637, 342, 229 on a calculator?

You can find the GCD of 429, 637, 342, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.