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 393, 225, 317, 541 i.e. 1 largest integer that divides all the numbers equally.
GCD of 393, 225, 317, 541 is 1
GCD(393, 225, 317, 541) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 393, 225, 317, 541 is 1
GCD(393, 225, 317, 541) = 1
Given Input numbers are 393, 225, 317, 541
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Greatest Common Divisior
We found the divisors of 393, 225, 317, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 225, 317, 541 is 1.
Therefore, GCD of numbers 393, 225, 317, 541 is 1
Given Input Data is 393, 225, 317, 541
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 393 is 3 x 131
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 317 is 317
Prime Factorization of 541 is 541
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(393, 225) = 29475
GCD(393, 225) = ( 393 x 225 ) / 29475
GCD(393, 225) = 88425 / 29475
GCD(393, 225) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 317) = 951
GCD(3, 317) = ( 3 x 317 ) / 951
GCD(3, 317) = 951 / 951
GCD(3, 317) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 541
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 541) = 541
GCD(1, 541) = ( 1 x 541 ) / 541
GCD(1, 541) = 541 / 541
GCD(1, 541) = 1
GCD of 393, 225, 317, 541 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 393, 225, 317, 541?
GCD of 393, 225, 317, 541 is 1
2. Where do I get the detailed procedure to find GCD of 393, 225, 317, 541?
You can find a detailed procedure to find GCD of 393, 225, 317, 541 on our page.
3. How to find GCD of 393, 225, 317, 541 on a calculator?
You can find the GCD of 393, 225, 317, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.