GCD of 307, 228, 76, 867 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 307, 228, 76, 867 i.e. 1 largest integer that divides all the numbers equally.

GCD of 307, 228, 76, 867 is 1

GCD(307, 228, 76, 867) = 1

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

GCD of

GCD of numbers 307, 228, 76, 867 is 1

GCD(307, 228, 76, 867) = 1

GCD of 307,228,76,867 Calculator

GCDof 307,228,76,867 is 1

Given Input numbers are 307, 228, 76, 867

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 307, 228, 76, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 228, 76, 867 is 1.

Therefore, GCD of numbers 307, 228, 76, 867 is 1

Finding GCD of 307, 228, 76, 867 using Prime Factorization

Given Input Data is 307, 228, 76, 867

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

Prime Factorization of 307 is 307

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 867 is 3 x 17 x 17

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

Finding GCD of 307, 228, 76, 867 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(307, 228) = 69996

GCD(307, 228) = ( 307 x 228 ) / 69996

GCD(307, 228) = 69996 / 69996

GCD(307, 228) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 307, 228, 76, 867 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 307, 228, 76, 867

1. What is the GCD of 307, 228, 76, 867?

GCD of 307, 228, 76, 867 is 1


2. Where do I get the detailed procedure to find GCD of 307, 228, 76, 867?

You can find a detailed procedure to find GCD of 307, 228, 76, 867 on our page.


3. How to find GCD of 307, 228, 76, 867 on a calculator?

You can find the GCD of 307, 228, 76, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.