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 932, 868, 40, 422 i.e. 2 largest integer that divides all the numbers equally.
GCD of 932, 868, 40, 422 is 2
GCD(932, 868, 40, 422) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 932, 868, 40, 422 is 2
GCD(932, 868, 40, 422) = 2
Given Input numbers are 932, 868, 40, 422
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 932, 868, 40, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 868, 40, 422 is 2.
Therefore, GCD of numbers 932, 868, 40, 422 is 2
Given Input Data is 932, 868, 40, 422
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 422 is 2 x 211
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(932, 868) = 202244
GCD(932, 868) = ( 932 x 868 ) / 202244
GCD(932, 868) = 808976 / 202244
GCD(932, 868) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 40) = 40
GCD(4, 40) = ( 4 x 40 ) / 40
GCD(4, 40) = 160 / 40
GCD(4, 40) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 422) = 844
GCD(4, 422) = ( 4 x 422 ) / 844
GCD(4, 422) = 1688 / 844
GCD(4, 422) = 2
GCD of 932, 868, 40, 422 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 932, 868, 40, 422?
GCD of 932, 868, 40, 422 is 2
2. Where do I get the detailed procedure to find GCD of 932, 868, 40, 422?
You can find a detailed procedure to find GCD of 932, 868, 40, 422 on our page.
3. How to find GCD of 932, 868, 40, 422 on a calculator?
You can find the GCD of 932, 868, 40, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.