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 572, 222, 711, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 572, 222, 711, 309 is 1
GCD(572, 222, 711, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 572, 222, 711, 309 is 1
GCD(572, 222, 711, 309) = 1
Given Input numbers are 572, 222, 711, 309
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Greatest Common Divisior
We found the divisors of 572, 222, 711, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 222, 711, 309 is 1.
Therefore, GCD of numbers 572, 222, 711, 309 is 1
Given Input Data is 572, 222, 711, 309
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 309 is 3 x 103
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(572, 222) = 63492
GCD(572, 222) = ( 572 x 222 ) / 63492
GCD(572, 222) = 126984 / 63492
GCD(572, 222) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 711) = 1422
GCD(2, 711) = ( 2 x 711 ) / 1422
GCD(2, 711) = 1422 / 1422
GCD(2, 711) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
GCD of 572, 222, 711, 309 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 572, 222, 711, 309?
GCD of 572, 222, 711, 309 is 1
2. Where do I get the detailed procedure to find GCD of 572, 222, 711, 309?
You can find a detailed procedure to find GCD of 572, 222, 711, 309 on our page.
3. How to find GCD of 572, 222, 711, 309 on a calculator?
You can find the GCD of 572, 222, 711, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.