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 131, 258, 374, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 258, 374, 876 is 1
GCD(131, 258, 374, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 258, 374, 876 is 1
GCD(131, 258, 374, 876) = 1
Given Input numbers are 131, 258, 374, 876
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
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 131, 258, 374, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 258, 374, 876 is 1.
Therefore, GCD of numbers 131, 258, 374, 876 is 1
Given Input Data is 131, 258, 374, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 374 is 2 x 11 x 17
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(131, 258) = 33798
GCD(131, 258) = ( 131 x 258 ) / 33798
GCD(131, 258) = 33798 / 33798
GCD(131, 258) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 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 131, 258, 374, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 258, 374, 876?
GCD of 131, 258, 374, 876 is 1
2. Where do I get the detailed procedure to find GCD of 131, 258, 374, 876?
You can find a detailed procedure to find GCD of 131, 258, 374, 876 on our page.
3. How to find GCD of 131, 258, 374, 876 on a calculator?
You can find the GCD of 131, 258, 374, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.