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 268, 871, 29, 756 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 871, 29, 756 is 1
GCD(268, 871, 29, 756) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 871, 29, 756 is 1
GCD(268, 871, 29, 756) = 1
Given Input numbers are 268, 871, 29, 756
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Greatest Common Divisior
We found the divisors of 268, 871, 29, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 871, 29, 756 is 1.
Therefore, GCD of numbers 268, 871, 29, 756 is 1
Given Input Data is 268, 871, 29, 756
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 871 is 13 x 67
Prime Factorization of 29 is 29
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
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(268, 871) = 3484
GCD(268, 871) = ( 268 x 871 ) / 3484
GCD(268, 871) = 233428 / 3484
GCD(268, 871) = 67
Step2:
Here we consider the GCD from the above i.e. 67 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(67, 29) = 1943
GCD(67, 29) = ( 67 x 29 ) / 1943
GCD(67, 29) = 1943 / 1943
GCD(67, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 756
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
GCD(1, 756) = 756 / 756
GCD(1, 756) = 1
GCD of 268, 871, 29, 756 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 871, 29, 756?
GCD of 268, 871, 29, 756 is 1
2. Where do I get the detailed procedure to find GCD of 268, 871, 29, 756?
You can find a detailed procedure to find GCD of 268, 871, 29, 756 on our page.
3. How to find GCD of 268, 871, 29, 756 on a calculator?
You can find the GCD of 268, 871, 29, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.