GCD of 788, 326, 12, 486 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 788, 326, 12, 486 i.e. 2 largest integer that divides all the numbers equally.

GCD of 788, 326, 12, 486 is 2

GCD(788, 326, 12, 486) = 2

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

GCD of

GCD of numbers 788, 326, 12, 486 is 2

GCD(788, 326, 12, 486) = 2

GCD of 788,326,12,486 Calculator

GCDof 788,326,12,486 is 2

Given Input numbers are 788, 326, 12, 486

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 788, 326, 12, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 326, 12, 486 is 2.

Therefore, GCD of numbers 788, 326, 12, 486 is 2

Finding GCD of 788, 326, 12, 486 using Prime Factorization

Given Input Data is 788, 326, 12, 486

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 326 is 2 x 163

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 788, 326, 12, 486 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(788, 326) = 128444

GCD(788, 326) = ( 788 x 326 ) / 128444

GCD(788, 326) = 256888 / 128444

GCD(788, 326) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 486

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

LCM(2, 486) = 486

GCD(2, 486) = ( 2 x 486 ) / 486

GCD(2, 486) = 972 / 486

GCD(2, 486) = 2

GCD of 788, 326, 12, 486 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 788, 326, 12, 486

1. What is the GCD of 788, 326, 12, 486?

GCD of 788, 326, 12, 486 is 2


2. Where do I get the detailed procedure to find GCD of 788, 326, 12, 486?

You can find a detailed procedure to find GCD of 788, 326, 12, 486 on our page.


3. How to find GCD of 788, 326, 12, 486 on a calculator?

You can find the GCD of 788, 326, 12, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.