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 231, 512, 405, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 512, 405, 936 is 1
GCD(231, 512, 405, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 512, 405, 936 is 1
GCD(231, 512, 405, 936) = 1
Given Input numbers are 231, 512, 405, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Greatest Common Divisior
We found the divisors of 231, 512, 405, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 512, 405, 936 is 1.
Therefore, GCD of numbers 231, 512, 405, 936 is 1
Given Input Data is 231, 512, 405, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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(231, 512) = 118272
GCD(231, 512) = ( 231 x 512 ) / 118272
GCD(231, 512) = 118272 / 118272
GCD(231, 512) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 231, 512, 405, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 512, 405, 936?
GCD of 231, 512, 405, 936 is 1
2. Where do I get the detailed procedure to find GCD of 231, 512, 405, 936?
You can find a detailed procedure to find GCD of 231, 512, 405, 936 on our page.
3. How to find GCD of 231, 512, 405, 936 on a calculator?
You can find the GCD of 231, 512, 405, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.