GCD of 200, 268, 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 200, 268, 956 i.e. 4 largest integer that divides all the numbers equally.

GCD of 200, 268, 956 is 4

GCD(200, 268, 956) = 4

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

GCD of

GCD of numbers 200, 268, 956 is 4

GCD(200, 268, 956) = 4

GCD of 200,268,956 Calculator

GCDof 200,268,956 is 4

Given Input numbers are 200, 268, 956

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 200, 268, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 268, 956 is 4.

Therefore, GCD of numbers 200, 268, 956 is 4

Finding GCD of 200, 268, 956 using Prime Factorization

Given Input Data is 200, 268, 956

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 956 is 2 x 2 x 239

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 200, 268, 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(200, 268) = 13400

GCD(200, 268) = ( 200 x 268 ) / 13400

GCD(200, 268) = 53600 / 13400

GCD(200, 268) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 956

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

LCM(4, 956) = 956

GCD(4, 956) = ( 4 x 956 ) / 956

GCD(4, 956) = 3824 / 956

GCD(4, 956) = 4

GCD of 200, 268, 956 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 200, 268, 956

1. What is the GCD of 200, 268, 956?

GCD of 200, 268, 956 is 4


2. Where do I get the detailed procedure to find GCD of 200, 268, 956?

You can find a detailed procedure to find GCD of 200, 268, 956 on our page.


3. How to find GCD of 200, 268, 956 on a calculator?

You can find the GCD of 200, 268, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.