GCD of 831, 306, 73, 956 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, 306, 73, 956 i.e. 1 largest integer that divides all the numbers equally.

GCD of 831, 306, 73, 956 is 1

GCD(831, 306, 73, 956) = 1

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

GCD of

GCD of numbers 831, 306, 73, 956 is 1

GCD(831, 306, 73, 956) = 1

GCD of 831,306,73,956 Calculator

GCDof 831,306,73,956 is 1

Given Input numbers are 831, 306, 73, 956

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 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 956

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

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 831, 306, 73, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 306, 73, 956 is 1.

Therefore, GCD of numbers 831, 306, 73, 956 is 1

Finding GCD of 831, 306, 73, 956 using Prime Factorization

Given Input Data is 831, 306, 73, 956

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 73 is 73

Prime Factorization of 956 is 2 x 2 x 239

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

Finding GCD of 831, 306, 73, 956 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, 306) = 84762

GCD(831, 306) = ( 831 x 306 ) / 84762

GCD(831, 306) = 254286 / 84762

GCD(831, 306) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 831, 306, 73, 956 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 831, 306, 73, 956

1. What is the GCD of 831, 306, 73, 956?

GCD of 831, 306, 73, 956 is 1


2. Where do I get the detailed procedure to find GCD of 831, 306, 73, 956?

You can find a detailed procedure to find GCD of 831, 306, 73, 956 on our page.


3. How to find GCD of 831, 306, 73, 956 on a calculator?

You can find the GCD of 831, 306, 73, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.