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 944, 913, 395, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 944, 913, 395, 312 is 1
GCD(944, 913, 395, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 944, 913, 395, 312 is 1
GCD(944, 913, 395, 312) = 1
Given Input numbers are 944, 913, 395, 312
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 944, 913, 395, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 913, 395, 312 is 1.
Therefore, GCD of numbers 944, 913, 395, 312 is 1
Given Input Data is 944, 913, 395, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 913 is 11 x 83
Prime Factorization of 395 is 5 x 79
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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(944, 913) = 861872
GCD(944, 913) = ( 944 x 913 ) / 861872
GCD(944, 913) = 861872 / 861872
GCD(944, 913) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 944, 913, 395, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 944, 913, 395, 312?
GCD of 944, 913, 395, 312 is 1
2. Where do I get the detailed procedure to find GCD of 944, 913, 395, 312?
You can find a detailed procedure to find GCD of 944, 913, 395, 312 on our page.
3. How to find GCD of 944, 913, 395, 312 on a calculator?
You can find the GCD of 944, 913, 395, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.