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 956, 268, 13, 344 i.e. 1 largest integer that divides all the numbers equally.
GCD of 956, 268, 13, 344 is 1
GCD(956, 268, 13, 344) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 956, 268, 13, 344 is 1
GCD(956, 268, 13, 344) = 1
Given Input numbers are 956, 268, 13, 344
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Greatest Common Divisior
We found the divisors of 956, 268, 13, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 268, 13, 344 is 1.
Therefore, GCD of numbers 956, 268, 13, 344 is 1
Given Input Data is 956, 268, 13, 344
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 13 is 13
Prime Factorization of 344 is 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
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(956, 268) = 64052
GCD(956, 268) = ( 956 x 268 ) / 64052
GCD(956, 268) = 256208 / 64052
GCD(956, 268) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 13) = 52
GCD(4, 13) = ( 4 x 13 ) / 52
GCD(4, 13) = 52 / 52
GCD(4, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
GCD(1, 344) = 344 / 344
GCD(1, 344) = 1
GCD of 956, 268, 13, 344 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 956, 268, 13, 344?
GCD of 956, 268, 13, 344 is 1
2. Where do I get the detailed procedure to find GCD of 956, 268, 13, 344?
You can find a detailed procedure to find GCD of 956, 268, 13, 344 on our page.
3. How to find GCD of 956, 268, 13, 344 on a calculator?
You can find the GCD of 956, 268, 13, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.