GCD of 831, 395, 675, 351 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, 395, 675, 351 i.e. 1 largest integer that divides all the numbers equally.

GCD of 831, 395, 675, 351 is 1

GCD(831, 395, 675, 351) = 1

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

GCD of

GCD of numbers 831, 395, 675, 351 is 1

GCD(831, 395, 675, 351) = 1

GCD of 831,395,675,351 Calculator

GCDof 831,395,675,351 is 1

Given Input numbers are 831, 395, 675, 351

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 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 831, 395, 675, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 395, 675, 351 is 1.

Therefore, GCD of numbers 831, 395, 675, 351 is 1

Finding GCD of 831, 395, 675, 351 using Prime Factorization

Given Input Data is 831, 395, 675, 351

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 395 is 5 x 79

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

Finding GCD of 831, 395, 675, 351 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, 395) = 328245

GCD(831, 395) = ( 831 x 395 ) / 328245

GCD(831, 395) = 328245 / 328245

GCD(831, 395) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 831, 395, 675, 351 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 831, 395, 675, 351

1. What is the GCD of 831, 395, 675, 351?

GCD of 831, 395, 675, 351 is 1


2. Where do I get the detailed procedure to find GCD of 831, 395, 675, 351?

You can find a detailed procedure to find GCD of 831, 395, 675, 351 on our page.


3. How to find GCD of 831, 395, 675, 351 on a calculator?

You can find the GCD of 831, 395, 675, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.