GCD of 838, 431, 320 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 838, 431, 320 i.e. 1 largest integer that divides all the numbers equally.

GCD of 838, 431, 320 is 1

GCD(838, 431, 320) = 1

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

GCD of

GCD of numbers 838, 431, 320 is 1

GCD(838, 431, 320) = 1

GCD of 838,431,320 Calculator

GCDof 838,431,320 is 1

Given Input numbers are 838, 431, 320

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

Divisors of 838

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

1, 2, 419, 838

Divisors of 431

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

1, 431

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 838, 431, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 431, 320 is 1.

Therefore, GCD of numbers 838, 431, 320 is 1

Finding GCD of 838, 431, 320 using Prime Factorization

Given Input Data is 838, 431, 320

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 431 is 431

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Finding GCD of 838, 431, 320 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(838, 431) = 361178

GCD(838, 431) = ( 838 x 431 ) / 361178

GCD(838, 431) = 361178 / 361178

GCD(838, 431) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 838, 431, 320 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 838, 431, 320

1. What is the GCD of 838, 431, 320?

GCD of 838, 431, 320 is 1


2. Where do I get the detailed procedure to find GCD of 838, 431, 320?

You can find a detailed procedure to find GCD of 838, 431, 320 on our page.


3. How to find GCD of 838, 431, 320 on a calculator?

You can find the GCD of 838, 431, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.