GCD of 600, 468, 26, 956 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 600, 468, 26, 956 i.e. 2 largest integer that divides all the numbers equally.

GCD of 600, 468, 26, 956 is 2

GCD(600, 468, 26, 956) = 2

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

GCD of

GCD of numbers 600, 468, 26, 956 is 2

GCD(600, 468, 26, 956) = 2

GCD of 600,468,26,956 Calculator

GCDof 600,468,26,956 is 2

Given Input numbers are 600, 468, 26, 956

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 600, 468, 26, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 468, 26, 956 is 2.

Therefore, GCD of numbers 600, 468, 26, 956 is 2

Finding GCD of 600, 468, 26, 956 using Prime Factorization

Given Input Data is 600, 468, 26, 956

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 26 is 2 x 13

Prime Factorization of 956 is 2 x 2 x 239

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 600, 468, 26, 956 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(600, 468) = 23400

GCD(600, 468) = ( 600 x 468 ) / 23400

GCD(600, 468) = 280800 / 23400

GCD(600, 468) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 26

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

LCM(12, 26) = 156

GCD(12, 26) = ( 12 x 26 ) / 156

GCD(12, 26) = 312 / 156

GCD(12, 26) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

GCD of 600, 468, 26, 956 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 600, 468, 26, 956

1. What is the GCD of 600, 468, 26, 956?

GCD of 600, 468, 26, 956 is 2


2. Where do I get the detailed procedure to find GCD of 600, 468, 26, 956?

You can find a detailed procedure to find GCD of 600, 468, 26, 956 on our page.


3. How to find GCD of 600, 468, 26, 956 on a calculator?

You can find the GCD of 600, 468, 26, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.