GCD of 831, 975, 10, 790 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, 975, 10, 790 i.e. 1 largest integer that divides all the numbers equally.

GCD of 831, 975, 10, 790 is 1

GCD(831, 975, 10, 790) = 1

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

GCD of

GCD of numbers 831, 975, 10, 790 is 1

GCD(831, 975, 10, 790) = 1

GCD of 831,975,10,790 Calculator

GCDof 831,975,10,790 is 1

Given Input numbers are 831, 975, 10, 790

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 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 831, 975, 10, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 975, 10, 790 is 1.

Therefore, GCD of numbers 831, 975, 10, 790 is 1

Finding GCD of 831, 975, 10, 790 using Prime Factorization

Given Input Data is 831, 975, 10, 790

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 10 is 2 x 5

Prime Factorization of 790 is 2 x 5 x 79

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

Finding GCD of 831, 975, 10, 790 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, 975) = 270075

GCD(831, 975) = ( 831 x 975 ) / 270075

GCD(831, 975) = 810225 / 270075

GCD(831, 975) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 831, 975, 10, 790 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 831, 975, 10, 790

1. What is the GCD of 831, 975, 10, 790?

GCD of 831, 975, 10, 790 is 1


2. Where do I get the detailed procedure to find GCD of 831, 975, 10, 790?

You can find a detailed procedure to find GCD of 831, 975, 10, 790 on our page.


3. How to find GCD of 831, 975, 10, 790 on a calculator?

You can find the GCD of 831, 975, 10, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.