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 790, 932, 20, 904 i.e. 2 largest integer that divides all the numbers equally.
GCD of 790, 932, 20, 904 is 2
GCD(790, 932, 20, 904) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 790, 932, 20, 904 is 2
GCD(790, 932, 20, 904) = 2
Given Input numbers are 790, 932, 20, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 790, 932, 20, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 932, 20, 904 is 2.
Therefore, GCD of numbers 790, 932, 20, 904 is 2
Given Input Data is 790, 932, 20, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 904 is 2 x 2 x 2 x 113
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(790, 932) = 368140
GCD(790, 932) = ( 790 x 932 ) / 368140
GCD(790, 932) = 736280 / 368140
GCD(790, 932) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
GCD(2, 20) = 40 / 20
GCD(2, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
GCD(2, 904) = 1808 / 904
GCD(2, 904) = 2
GCD of 790, 932, 20, 904 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 790, 932, 20, 904?
GCD of 790, 932, 20, 904 is 2
2. Where do I get the detailed procedure to find GCD of 790, 932, 20, 904?
You can find a detailed procedure to find GCD of 790, 932, 20, 904 on our page.
3. How to find GCD of 790, 932, 20, 904 on a calculator?
You can find the GCD of 790, 932, 20, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.