GCD of 786, 396, 228, 331 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 786, 396, 228, 331 i.e. 1 largest integer that divides all the numbers equally.

GCD of 786, 396, 228, 331 is 1

GCD(786, 396, 228, 331) = 1

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

GCD of

GCD of numbers 786, 396, 228, 331 is 1

GCD(786, 396, 228, 331) = 1

GCD of 786,396,228,331 Calculator

GCDof 786,396,228,331 is 1

Given Input numbers are 786, 396, 228, 331

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 786, 396, 228, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 396, 228, 331 is 1.

Therefore, GCD of numbers 786, 396, 228, 331 is 1

Finding GCD of 786, 396, 228, 331 using Prime Factorization

Given Input Data is 786, 396, 228, 331

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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

Prime Factorization of 331 is 331

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

Finding GCD of 786, 396, 228, 331 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(786, 396) = 51876

GCD(786, 396) = ( 786 x 396 ) / 51876

GCD(786, 396) = 311256 / 51876

GCD(786, 396) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 228

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

LCM(6, 228) = 228

GCD(6, 228) = ( 6 x 228 ) / 228

GCD(6, 228) = 1368 / 228

GCD(6, 228) = 6


Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 331

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

LCM(6, 331) = 1986

GCD(6, 331) = ( 6 x 331 ) / 1986

GCD(6, 331) = 1986 / 1986

GCD(6, 331) = 1

GCD of 786, 396, 228, 331 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 786, 396, 228, 331

1. What is the GCD of 786, 396, 228, 331?

GCD of 786, 396, 228, 331 is 1


2. Where do I get the detailed procedure to find GCD of 786, 396, 228, 331?

You can find a detailed procedure to find GCD of 786, 396, 228, 331 on our page.


3. How to find GCD of 786, 396, 228, 331 on a calculator?

You can find the GCD of 786, 396, 228, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.