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 500, 940, 923, 326 i.e. 1 largest integer that divides all the numbers equally.
GCD of 500, 940, 923, 326 is 1
GCD(500, 940, 923, 326) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 500, 940, 923, 326 is 1
GCD(500, 940, 923, 326) = 1
Given Input numbers are 500, 940, 923, 326
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
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 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Greatest Common Divisior
We found the divisors of 500, 940, 923, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 940, 923, 326 is 1.
Therefore, GCD of numbers 500, 940, 923, 326 is 1
Given Input Data is 500, 940, 923, 326
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 923 is 13 x 71
Prime Factorization of 326 is 2 x 163
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(500, 940) = 23500
GCD(500, 940) = ( 500 x 940 ) / 23500
GCD(500, 940) = 470000 / 23500
GCD(500, 940) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 923) = 18460
GCD(20, 923) = ( 20 x 923 ) / 18460
GCD(20, 923) = 18460 / 18460
GCD(20, 923) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 326) = 326
GCD(1, 326) = ( 1 x 326 ) / 326
GCD(1, 326) = 326 / 326
GCD(1, 326) = 1
GCD of 500, 940, 923, 326 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 500, 940, 923, 326?
GCD of 500, 940, 923, 326 is 1
2. Where do I get the detailed procedure to find GCD of 500, 940, 923, 326?
You can find a detailed procedure to find GCD of 500, 940, 923, 326 on our page.
3. How to find GCD of 500, 940, 923, 326 on a calculator?
You can find the GCD of 500, 940, 923, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.