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 325, 871, 517, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 325, 871, 517, 876 is 1
GCD(325, 871, 517, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 325, 871, 517, 876 is 1
GCD(325, 871, 517, 876) = 1
Given Input numbers are 325, 871, 517, 876
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Greatest Common Divisior
We found the divisors of 325, 871, 517, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 871, 517, 876 is 1.
Therefore, GCD of numbers 325, 871, 517, 876 is 1
Given Input Data is 325, 871, 517, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 871 is 13 x 67
Prime Factorization of 517 is 11 x 47
Prime Factorization of 876 is 2 x 2 x 3 x 73
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(325, 871) = 21775
GCD(325, 871) = ( 325 x 871 ) / 21775
GCD(325, 871) = 283075 / 21775
GCD(325, 871) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 517) = 6721
GCD(13, 517) = ( 13 x 517 ) / 6721
GCD(13, 517) = 6721 / 6721
GCD(13, 517) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
GCD of 325, 871, 517, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 325, 871, 517, 876?
GCD of 325, 871, 517, 876 is 1
2. Where do I get the detailed procedure to find GCD of 325, 871, 517, 876?
You can find a detailed procedure to find GCD of 325, 871, 517, 876 on our page.
3. How to find GCD of 325, 871, 517, 876 on a calculator?
You can find the GCD of 325, 871, 517, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.