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 317, 307, 920, 941 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 307, 920, 941 is 1
GCD(317, 307, 920, 941) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 307, 920, 941 is 1
GCD(317, 307, 920, 941) = 1
Given Input numbers are 317, 307, 920, 941
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Greatest Common Divisior
We found the divisors of 317, 307, 920, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 307, 920, 941 is 1.
Therefore, GCD of numbers 317, 307, 920, 941 is 1
Given Input Data is 317, 307, 920, 941
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 307 is 307
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 941 is 941
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(317, 307) = 97319
GCD(317, 307) = ( 317 x 307 ) / 97319
GCD(317, 307) = 97319 / 97319
GCD(317, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 941
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 941) = 941
GCD(1, 941) = ( 1 x 941 ) / 941
GCD(1, 941) = 941 / 941
GCD(1, 941) = 1
GCD of 317, 307, 920, 941 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 307, 920, 941?
GCD of 317, 307, 920, 941 is 1
2. Where do I get the detailed procedure to find GCD of 317, 307, 920, 941?
You can find a detailed procedure to find GCD of 317, 307, 920, 941 on our page.
3. How to find GCD of 317, 307, 920, 941 on a calculator?
You can find the GCD of 317, 307, 920, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.