GCD of 908, 309, 99, 384 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 908, 309, 99, 384 i.e. 1 largest integer that divides all the numbers equally.

GCD of 908, 309, 99, 384 is 1

GCD(908, 309, 99, 384) = 1

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

GCD of

GCD of numbers 908, 309, 99, 384 is 1

GCD(908, 309, 99, 384) = 1

GCD of 908,309,99,384 Calculator

GCDof 908,309,99,384 is 1

Given Input numbers are 908, 309, 99, 384

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 908, 309, 99, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 309, 99, 384 is 1.

Therefore, GCD of numbers 908, 309, 99, 384 is 1

Finding GCD of 908, 309, 99, 384 using Prime Factorization

Given Input Data is 908, 309, 99, 384

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 309 is 3 x 103

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Finding GCD of 908, 309, 99, 384 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(908, 309) = 280572

GCD(908, 309) = ( 908 x 309 ) / 280572

GCD(908, 309) = 280572 / 280572

GCD(908, 309) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 908, 309, 99, 384 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 908, 309, 99, 384

1. What is the GCD of 908, 309, 99, 384?

GCD of 908, 309, 99, 384 is 1


2. Where do I get the detailed procedure to find GCD of 908, 309, 99, 384?

You can find a detailed procedure to find GCD of 908, 309, 99, 384 on our page.


3. How to find GCD of 908, 309, 99, 384 on a calculator?

You can find the GCD of 908, 309, 99, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.