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 823, 231, 52, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 823, 231, 52, 468 is 1
GCD(823, 231, 52, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 823, 231, 52, 468 is 1
GCD(823, 231, 52, 468) = 1
Given Input numbers are 823, 231, 52, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
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 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 823, 231, 52, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 231, 52, 468 is 1.
Therefore, GCD of numbers 823, 231, 52, 468 is 1
Given Input Data is 823, 231, 52, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 823 is 823
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 468 is 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(823, 231) = 190113
GCD(823, 231) = ( 823 x 231 ) / 190113
GCD(823, 231) = 190113 / 190113
GCD(823, 231) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 823, 231, 52, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 823, 231, 52, 468?
GCD of 823, 231, 52, 468 is 1
2. Where do I get the detailed procedure to find GCD of 823, 231, 52, 468?
You can find a detailed procedure to find GCD of 823, 231, 52, 468 on our page.
3. How to find GCD of 823, 231, 52, 468 on a calculator?
You can find the GCD of 823, 231, 52, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.