GCD of 831, 677, 22, 731 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, 677, 22, 731 i.e. 1 largest integer that divides all the numbers equally.

GCD of 831, 677, 22, 731 is 1

GCD(831, 677, 22, 731) = 1

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

GCD of

GCD of numbers 831, 677, 22, 731 is 1

GCD(831, 677, 22, 731) = 1

GCD of 831,677,22,731 Calculator

GCDof 831,677,22,731 is 1

Given Input numbers are 831, 677, 22, 731

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 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 831, 677, 22, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 677, 22, 731 is 1.

Therefore, GCD of numbers 831, 677, 22, 731 is 1

Finding GCD of 831, 677, 22, 731 using Prime Factorization

Given Input Data is 831, 677, 22, 731

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 677 is 677

Prime Factorization of 22 is 2 x 11

Prime Factorization of 731 is 17 x 43

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

Finding GCD of 831, 677, 22, 731 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, 677) = 562587

GCD(831, 677) = ( 831 x 677 ) / 562587

GCD(831, 677) = 562587 / 562587

GCD(831, 677) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 831, 677, 22, 731 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 831, 677, 22, 731

1. What is the GCD of 831, 677, 22, 731?

GCD of 831, 677, 22, 731 is 1


2. Where do I get the detailed procedure to find GCD of 831, 677, 22, 731?

You can find a detailed procedure to find GCD of 831, 677, 22, 731 on our page.


3. How to find GCD of 831, 677, 22, 731 on a calculator?

You can find the GCD of 831, 677, 22, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.