GCD of 831, 344, 821, 116 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 831, 344, 821, 116 i.e. 1 largest integer that divides all the numbers equally.

GCD of 831, 344, 821, 116 is 1

GCD(831, 344, 821, 116) = 1

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

GCD of

GCD of numbers 831, 344, 821, 116 is 1

GCD(831, 344, 821, 116) = 1

GCD of 831,344,821,116 Calculator

GCDof 831,344,821,116 is 1

Given Input numbers are 831, 344, 821, 116

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 831, 344, 821, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 344, 821, 116 is 1.

Therefore, GCD of numbers 831, 344, 821, 116 is 1

Finding GCD of 831, 344, 821, 116 using Prime Factorization

Given Input Data is 831, 344, 821, 116

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 821 is 821

Prime Factorization of 116 is 2 x 2 x 29

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

Finding GCD of 831, 344, 821, 116 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(831, 344) = 285864

GCD(831, 344) = ( 831 x 344 ) / 285864

GCD(831, 344) = 285864 / 285864

GCD(831, 344) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 831, 344, 821, 116 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 831, 344, 821, 116

1. What is the GCD of 831, 344, 821, 116?

GCD of 831, 344, 821, 116 is 1


2. Where do I get the detailed procedure to find GCD of 831, 344, 821, 116?

You can find a detailed procedure to find GCD of 831, 344, 821, 116 on our page.


3. How to find GCD of 831, 344, 821, 116 on a calculator?

You can find the GCD of 831, 344, 821, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.