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 numbers 200, 268, 956 is 4
GCD(200, 268, 956) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.