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 36, 509, 591, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 509, 591, 564 is 1
GCD(36, 509, 591, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 509, 591, 564 is 1
GCD(36, 509, 591, 564) = 1
Given Input numbers are 36, 509, 591, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 36, 509, 591, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 509, 591, 564 is 1.
Therefore, GCD of numbers 36, 509, 591, 564 is 1
Given Input Data is 36, 509, 591, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 509 is 509
Prime Factorization of 591 is 3 x 197
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(36, 509) = 18324
GCD(36, 509) = ( 36 x 509 ) / 18324
GCD(36, 509) = 18324 / 18324
GCD(36, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 591) = 591
GCD(1, 591) = ( 1 x 591 ) / 591
GCD(1, 591) = 591 / 591
GCD(1, 591) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 36, 509, 591, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 509, 591, 564?
GCD of 36, 509, 591, 564 is 1
2. Where do I get the detailed procedure to find GCD of 36, 509, 591, 564?
You can find a detailed procedure to find GCD of 36, 509, 591, 564 on our page.
3. How to find GCD of 36, 509, 591, 564 on a calculator?
You can find the GCD of 36, 509, 591, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.