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 871, 868, 231, 213 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 868, 231, 213 is 1
GCD(871, 868, 231, 213) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 868, 231, 213 is 1
GCD(871, 868, 231, 213) = 1
Given Input numbers are 871, 868, 231, 213
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Greatest Common Divisior
We found the divisors of 871, 868, 231, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 868, 231, 213 is 1.
Therefore, GCD of numbers 871, 868, 231, 213 is 1
Given Input Data is 871, 868, 231, 213
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 213 is 3 x 71
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(871, 868) = 756028
GCD(871, 868) = ( 871 x 868 ) / 756028
GCD(871, 868) = 756028 / 756028
GCD(871, 868) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
GCD(1, 213) = 213 / 213
GCD(1, 213) = 1
GCD of 871, 868, 231, 213 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 868, 231, 213?
GCD of 871, 868, 231, 213 is 1
2. Where do I get the detailed procedure to find GCD of 871, 868, 231, 213?
You can find a detailed procedure to find GCD of 871, 868, 231, 213 on our page.
3. How to find GCD of 871, 868, 231, 213 on a calculator?
You can find the GCD of 871, 868, 231, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.