GCD of 604, 956, 431, 838 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 604, 956, 431, 838 i.e. 1 largest integer that divides all the numbers equally.

GCD of 604, 956, 431, 838 is 1

GCD(604, 956, 431, 838) = 1

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

GCD of

GCD of numbers 604, 956, 431, 838 is 1

GCD(604, 956, 431, 838) = 1

GCD of 604,956,431,838 Calculator

GCDof 604,956,431,838 is 1

Given Input numbers are 604, 956, 431, 838

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

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 838

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

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 604, 956, 431, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 956, 431, 838 is 1.

Therefore, GCD of numbers 604, 956, 431, 838 is 1

Finding GCD of 604, 956, 431, 838 using Prime Factorization

Given Input Data is 604, 956, 431, 838

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

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 431 is 431

Prime Factorization of 838 is 2 x 419

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

Finding GCD of 604, 956, 431, 838 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(604, 956) = 144356

GCD(604, 956) = ( 604 x 956 ) / 144356

GCD(604, 956) = 577424 / 144356

GCD(604, 956) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 431

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

LCM(4, 431) = 1724

GCD(4, 431) = ( 4 x 431 ) / 1724

GCD(4, 431) = 1724 / 1724

GCD(4, 431) = 1


Step3:

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

GCD of 604, 956, 431, 838 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 604, 956, 431, 838

1. What is the GCD of 604, 956, 431, 838?

GCD of 604, 956, 431, 838 is 1


2. Where do I get the detailed procedure to find GCD of 604, 956, 431, 838?

You can find a detailed procedure to find GCD of 604, 956, 431, 838 on our page.


3. How to find GCD of 604, 956, 431, 838 on a calculator?

You can find the GCD of 604, 956, 431, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.