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 123, 494, 30, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 494, 30, 823 is 1
GCD(123, 494, 30, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 494, 30, 823 is 1
GCD(123, 494, 30, 823) = 1
Given Input numbers are 123, 494, 30, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 123, 494, 30, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 494, 30, 823 is 1.
Therefore, GCD of numbers 123, 494, 30, 823 is 1
Given Input Data is 123, 494, 30, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 823 is 823
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(123, 494) = 60762
GCD(123, 494) = ( 123 x 494 ) / 60762
GCD(123, 494) = 60762 / 60762
GCD(123, 494) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 123, 494, 30, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 494, 30, 823?
GCD of 123, 494, 30, 823 is 1
2. Where do I get the detailed procedure to find GCD of 123, 494, 30, 823?
You can find a detailed procedure to find GCD of 123, 494, 30, 823 on our page.
3. How to find GCD of 123, 494, 30, 823 on a calculator?
You can find the GCD of 123, 494, 30, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.