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, 972, 50, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 540, 972, 50, 231 is 1
GCD(540, 972, 50, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 540, 972, 50, 231 is 1
GCD(540, 972, 50, 231) = 1
Given Input numbers are 540, 972, 50, 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 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
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, 972, 50, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 972, 50, 231 is 1.
Therefore, GCD of numbers 540, 972, 50, 231 is 1
Given Input Data is 540, 972, 50, 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 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 50 is 2 x 5 x 5
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, 972) = 4860
GCD(540, 972) = ( 540 x 972 ) / 4860
GCD(540, 972) = 524880 / 4860
GCD(540, 972) = 108
Step2:
Here we consider the GCD from the above i.e. 108 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(108, 50) = 2700
GCD(108, 50) = ( 108 x 50 ) / 2700
GCD(108, 50) = 5400 / 2700
GCD(108, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 231) = 462
GCD(2, 231) = ( 2 x 231 ) / 462
GCD(2, 231) = 462 / 462
GCD(2, 231) = 1
GCD of 540, 972, 50, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 540, 972, 50, 231?
GCD of 540, 972, 50, 231 is 1
2. Where do I get the detailed procedure to find GCD of 540, 972, 50, 231?
You can find a detailed procedure to find GCD of 540, 972, 50, 231 on our page.
3. How to find GCD of 540, 972, 50, 231 on a calculator?
You can find the GCD of 540, 972, 50, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.