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 540, 868, 327, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 540, 868, 327, 231 is 1
GCD(540, 868, 327, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 540, 868, 327, 231 is 1
GCD(540, 868, 327, 231) = 1
Given Input numbers are 540, 868, 327, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 540, 868, 327, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 868, 327, 231 is 1.
Therefore, GCD of numbers 540, 868, 327, 231 is 1
Given Input Data is 540, 868, 327, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 327 is 3 x 109
Prime Factorization of 231 is 3 x 7 x 11
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(540, 868) = 117180
GCD(540, 868) = ( 540 x 868 ) / 117180
GCD(540, 868) = 468720 / 117180
GCD(540, 868) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 327) = 1308
GCD(4, 327) = ( 4 x 327 ) / 1308
GCD(4, 327) = 1308 / 1308
GCD(4, 327) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 540, 868, 327, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 540, 868, 327, 231?
GCD of 540, 868, 327, 231 is 1
2. Where do I get the detailed procedure to find GCD of 540, 868, 327, 231?
You can find a detailed procedure to find GCD of 540, 868, 327, 231 on our page.
3. How to find GCD of 540, 868, 327, 231 on a calculator?
You can find the GCD of 540, 868, 327, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.