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 318, 825, 22, 571 i.e. 1 largest integer that divides all the numbers equally.
GCD of 318, 825, 22, 571 is 1
GCD(318, 825, 22, 571) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 825, 22, 571 is 1
GCD(318, 825, 22, 571) = 1
Given Input numbers are 318, 825, 22, 571
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Greatest Common Divisior
We found the divisors of 318, 825, 22, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 825, 22, 571 is 1.
Therefore, GCD of numbers 318, 825, 22, 571 is 1
Given Input Data is 318, 825, 22, 571
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 22 is 2 x 11
Prime Factorization of 571 is 571
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(318, 825) = 87450
GCD(318, 825) = ( 318 x 825 ) / 87450
GCD(318, 825) = 262350 / 87450
GCD(318, 825) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 22) = 66
GCD(3, 22) = ( 3 x 22 ) / 66
GCD(3, 22) = 66 / 66
GCD(3, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 571
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 571) = 571
GCD(1, 571) = ( 1 x 571 ) / 571
GCD(1, 571) = 571 / 571
GCD(1, 571) = 1
GCD of 318, 825, 22, 571 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 825, 22, 571?
GCD of 318, 825, 22, 571 is 1
2. Where do I get the detailed procedure to find GCD of 318, 825, 22, 571?
You can find a detailed procedure to find GCD of 318, 825, 22, 571 on our page.
3. How to find GCD of 318, 825, 22, 571 on a calculator?
You can find the GCD of 318, 825, 22, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.