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, 912, 310, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 912, 310, 296 is 1
GCD(131, 912, 310, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 912, 310, 296 is 1
GCD(131, 912, 310, 296) = 1
Given Input numbers are 131, 912, 310, 296
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 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 131, 912, 310, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 912, 310, 296 is 1.
Therefore, GCD of numbers 131, 912, 310, 296 is 1
Given Input Data is 131, 912, 310, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 296 is 2 x 2 x 2 x 37
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, 912) = 119472
GCD(131, 912) = ( 131 x 912 ) / 119472
GCD(131, 912) = 119472 / 119472
GCD(131, 912) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 131, 912, 310, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 912, 310, 296?
GCD of 131, 912, 310, 296 is 1
2. Where do I get the detailed procedure to find GCD of 131, 912, 310, 296?
You can find a detailed procedure to find GCD of 131, 912, 310, 296 on our page.
3. How to find GCD of 131, 912, 310, 296 on a calculator?
You can find the GCD of 131, 912, 310, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.