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 812, 252, 92, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 812, 252, 92, 231 is 1
GCD(812, 252, 92, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 812, 252, 92, 231 is 1
GCD(812, 252, 92, 231) = 1
Given Input numbers are 812, 252, 92, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
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 812, 252, 92, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 252, 92, 231 is 1.
Therefore, GCD of numbers 812, 252, 92, 231 is 1
Given Input Data is 812, 252, 92, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 92 is 2 x 2 x 23
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(812, 252) = 7308
GCD(812, 252) = ( 812 x 252 ) / 7308
GCD(812, 252) = 204624 / 7308
GCD(812, 252) = 28
Step2:
Here we consider the GCD from the above i.e. 28 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 92) = 644
GCD(28, 92) = ( 28 x 92 ) / 644
GCD(28, 92) = 2576 / 644
GCD(28, 92) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 231) = 924
GCD(4, 231) = ( 4 x 231 ) / 924
GCD(4, 231) = 924 / 924
GCD(4, 231) = 1
GCD of 812, 252, 92, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 812, 252, 92, 231?
GCD of 812, 252, 92, 231 is 1
2. Where do I get the detailed procedure to find GCD of 812, 252, 92, 231?
You can find a detailed procedure to find GCD of 812, 252, 92, 231 on our page.
3. How to find GCD of 812, 252, 92, 231 on a calculator?
You can find the GCD of 812, 252, 92, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.