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 117, 873, 92, 812 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 873, 92, 812 is 1
GCD(117, 873, 92, 812) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 873, 92, 812 is 1
GCD(117, 873, 92, 812) = 1
Given Input numbers are 117, 873, 92, 812
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
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
Greatest Common Divisior
We found the divisors of 117, 873, 92, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 873, 92, 812 is 1.
Therefore, GCD of numbers 117, 873, 92, 812 is 1
Given Input Data is 117, 873, 92, 812
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 812 is 2 x 2 x 7 x 29
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(117, 873) = 11349
GCD(117, 873) = ( 117 x 873 ) / 11349
GCD(117, 873) = 102141 / 11349
GCD(117, 873) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 92) = 828
GCD(9, 92) = ( 9 x 92 ) / 828
GCD(9, 92) = 828 / 828
GCD(9, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
GCD of 117, 873, 92, 812 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 873, 92, 812?
GCD of 117, 873, 92, 812 is 1
2. Where do I get the detailed procedure to find GCD of 117, 873, 92, 812?
You can find a detailed procedure to find GCD of 117, 873, 92, 812 on our page.
3. How to find GCD of 117, 873, 92, 812 on a calculator?
You can find the GCD of 117, 873, 92, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.