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, 958, 75, 856 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 958, 75, 856 is 1
GCD(131, 958, 75, 856) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 958, 75, 856 is 1
GCD(131, 958, 75, 856) = 1
Given Input numbers are 131, 958, 75, 856
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 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Greatest Common Divisior
We found the divisors of 131, 958, 75, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 958, 75, 856 is 1.
Therefore, GCD of numbers 131, 958, 75, 856 is 1
Given Input Data is 131, 958, 75, 856
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 958 is 2 x 479
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 856 is 2 x 2 x 2 x 107
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, 958) = 125498
GCD(131, 958) = ( 131 x 958 ) / 125498
GCD(131, 958) = 125498 / 125498
GCD(131, 958) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 856
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 856) = 856
GCD(1, 856) = ( 1 x 856 ) / 856
GCD(1, 856) = 856 / 856
GCD(1, 856) = 1
GCD of 131, 958, 75, 856 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 958, 75, 856?
GCD of 131, 958, 75, 856 is 1
2. Where do I get the detailed procedure to find GCD of 131, 958, 75, 856?
You can find a detailed procedure to find GCD of 131, 958, 75, 856 on our page.
3. How to find GCD of 131, 958, 75, 856 on a calculator?
You can find the GCD of 131, 958, 75, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.