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 184, 493, 460, 831 i.e. 1 largest integer that divides all the numbers equally.
GCD of 184, 493, 460, 831 is 1
GCD(184, 493, 460, 831) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 184, 493, 460, 831 is 1
GCD(184, 493, 460, 831) = 1
Given Input numbers are 184, 493, 460, 831
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Greatest Common Divisior
We found the divisors of 184, 493, 460, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 493, 460, 831 is 1.
Therefore, GCD of numbers 184, 493, 460, 831 is 1
Given Input Data is 184, 493, 460, 831
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 493 is 17 x 29
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 831 is 3 x 277
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(184, 493) = 90712
GCD(184, 493) = ( 184 x 493 ) / 90712
GCD(184, 493) = 90712 / 90712
GCD(184, 493) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
GCD of 184, 493, 460, 831 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 184, 493, 460, 831?
GCD of 184, 493, 460, 831 is 1
2. Where do I get the detailed procedure to find GCD of 184, 493, 460, 831?
You can find a detailed procedure to find GCD of 184, 493, 460, 831 on our page.
3. How to find GCD of 184, 493, 460, 831 on a calculator?
You can find the GCD of 184, 493, 460, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.