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, 317, 750 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 317, 750 is 1
GCD(975, 317, 750) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 317, 750 is 1
GCD(975, 317, 750) = 1
Given Input numbers are 975, 317, 750
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 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Greatest Common Divisior
We found the divisors of 975, 317, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 317, 750 is 1.
Therefore, GCD of numbers 975, 317, 750 is 1
Given Input Data is 975, 317, 750
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 317 is 317
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
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, 317) = 309075
GCD(975, 317) = ( 975 x 317 ) / 309075
GCD(975, 317) = 309075 / 309075
GCD(975, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
GCD(1, 750) = 750 / 750
GCD(1, 750) = 1
GCD of 975, 317, 750 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 317, 750?
GCD of 975, 317, 750 is 1
2. Where do I get the detailed procedure to find GCD of 975, 317, 750?
You can find a detailed procedure to find GCD of 975, 317, 750 on our page.
3. How to find GCD of 975, 317, 750 on a calculator?
You can find the GCD of 975, 317, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.