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 823, 491, 12, 523 i.e. 1 largest integer that divides all the numbers equally.
GCD of 823, 491, 12, 523 is 1
GCD(823, 491, 12, 523) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 823, 491, 12, 523 is 1
GCD(823, 491, 12, 523) = 1
Given Input numbers are 823, 491, 12, 523
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Greatest Common Divisior
We found the divisors of 823, 491, 12, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 491, 12, 523 is 1.
Therefore, GCD of numbers 823, 491, 12, 523 is 1
Given Input Data is 823, 491, 12, 523
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 823 is 823
Prime Factorization of 491 is 491
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 523 is 523
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(823, 491) = 404093
GCD(823, 491) = ( 823 x 491 ) / 404093
GCD(823, 491) = 404093 / 404093
GCD(823, 491) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
GCD of 823, 491, 12, 523 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 823, 491, 12, 523?
GCD of 823, 491, 12, 523 is 1
2. Where do I get the detailed procedure to find GCD of 823, 491, 12, 523?
You can find a detailed procedure to find GCD of 823, 491, 12, 523 on our page.
3. How to find GCD of 823, 491, 12, 523 on a calculator?
You can find the GCD of 823, 491, 12, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.