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 504, 975, 884, 571 i.e. 1 largest integer that divides all the numbers equally.
GCD of 504, 975, 884, 571 is 1
GCD(504, 975, 884, 571) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 975, 884, 571 is 1
GCD(504, 975, 884, 571) = 1
Given Input numbers are 504, 975, 884, 571
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
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 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
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 504, 975, 884, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 975, 884, 571 is 1.
Therefore, GCD of numbers 504, 975, 884, 571 is 1
Given Input Data is 504, 975, 884, 571
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 884 is 2 x 2 x 13 x 17
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(504, 975) = 163800
GCD(504, 975) = ( 504 x 975 ) / 163800
GCD(504, 975) = 491400 / 163800
GCD(504, 975) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 884) = 2652
GCD(3, 884) = ( 3 x 884 ) / 2652
GCD(3, 884) = 2652 / 2652
GCD(3, 884) = 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 504, 975, 884, 571 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 504, 975, 884, 571?
GCD of 504, 975, 884, 571 is 1
2. Where do I get the detailed procedure to find GCD of 504, 975, 884, 571?
You can find a detailed procedure to find GCD of 504, 975, 884, 571 on our page.
3. How to find GCD of 504, 975, 884, 571 on a calculator?
You can find the GCD of 504, 975, 884, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.