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 288, 572, 52, 571 i.e. 1 largest integer that divides all the numbers equally.
GCD of 288, 572, 52, 571 is 1
GCD(288, 572, 52, 571) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 288, 572, 52, 571 is 1
GCD(288, 572, 52, 571) = 1
Given Input numbers are 288, 572, 52, 571
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
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 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
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 288, 572, 52, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 572, 52, 571 is 1.
Therefore, GCD of numbers 288, 572, 52, 571 is 1
Given Input Data is 288, 572, 52, 571
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 52 is 2 x 2 x 13
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(288, 572) = 41184
GCD(288, 572) = ( 288 x 572 ) / 41184
GCD(288, 572) = 164736 / 41184
GCD(288, 572) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 52) = 52
GCD(4, 52) = ( 4 x 52 ) / 52
GCD(4, 52) = 208 / 52
GCD(4, 52) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 571
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 571) = 2284
GCD(4, 571) = ( 4 x 571 ) / 2284
GCD(4, 571) = 2284 / 2284
GCD(4, 571) = 1
GCD of 288, 572, 52, 571 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 288, 572, 52, 571?
GCD of 288, 572, 52, 571 is 1
2. Where do I get the detailed procedure to find GCD of 288, 572, 52, 571?
You can find a detailed procedure to find GCD of 288, 572, 52, 571 on our page.
3. How to find GCD of 288, 572, 52, 571 on a calculator?
You can find the GCD of 288, 572, 52, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.