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 923, 468, 940, 867 i.e. 1 largest integer that divides all the numbers equally.
GCD of 923, 468, 940, 867 is 1
GCD(923, 468, 940, 867) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 923, 468, 940, 867 is 1
GCD(923, 468, 940, 867) = 1
Given Input numbers are 923, 468, 940, 867
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
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
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Greatest Common Divisior
We found the divisors of 923, 468, 940, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 468, 940, 867 is 1.
Therefore, GCD of numbers 923, 468, 940, 867 is 1
Given Input Data is 923, 468, 940, 867
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 923 is 13 x 71
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 867 is 3 x 17 x 17
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(923, 468) = 33228
GCD(923, 468) = ( 923 x 468 ) / 33228
GCD(923, 468) = 431964 / 33228
GCD(923, 468) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 940) = 12220
GCD(13, 940) = ( 13 x 940 ) / 12220
GCD(13, 940) = 12220 / 12220
GCD(13, 940) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 867) = 867
GCD(1, 867) = ( 1 x 867 ) / 867
GCD(1, 867) = 867 / 867
GCD(1, 867) = 1
GCD of 923, 468, 940, 867 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 923, 468, 940, 867?
GCD of 923, 468, 940, 867 is 1
2. Where do I get the detailed procedure to find GCD of 923, 468, 940, 867?
You can find a detailed procedure to find GCD of 923, 468, 940, 867 on our page.
3. How to find GCD of 923, 468, 940, 867 on a calculator?
You can find the GCD of 923, 468, 940, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.