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 975, 563, 687, 317 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 563, 687, 317 is 1
GCD(975, 563, 687, 317) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 563, 687, 317 is 1
GCD(975, 563, 687, 317) = 1
Given Input numbers are 975, 563, 687, 317
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Greatest Common Divisior
We found the divisors of 975, 563, 687, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 563, 687, 317 is 1.
Therefore, GCD of numbers 975, 563, 687, 317 is 1
Given Input Data is 975, 563, 687, 317
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 563 is 563
Prime Factorization of 687 is 3 x 229
Prime Factorization of 317 is 317
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(975, 563) = 548925
GCD(975, 563) = ( 975 x 563 ) / 548925
GCD(975, 563) = 548925 / 548925
GCD(975, 563) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 317) = 317
GCD(1, 317) = ( 1 x 317 ) / 317
GCD(1, 317) = 317 / 317
GCD(1, 317) = 1
GCD of 975, 563, 687, 317 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 563, 687, 317?
GCD of 975, 563, 687, 317 is 1
2. Where do I get the detailed procedure to find GCD of 975, 563, 687, 317?
You can find a detailed procedure to find GCD of 975, 563, 687, 317 on our page.
3. How to find GCD of 975, 563, 687, 317 on a calculator?
You can find the GCD of 975, 563, 687, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.