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, 538, 904, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 823, 538, 904, 502 is 1
GCD(823, 538, 904, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 823, 538, 904, 502 is 1
GCD(823, 538, 904, 502) = 1
Given Input numbers are 823, 538, 904, 502
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 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 823, 538, 904, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 538, 904, 502 is 1.
Therefore, GCD of numbers 823, 538, 904, 502 is 1
Given Input Data is 823, 538, 904, 502
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 823 is 823
Prime Factorization of 538 is 2 x 269
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 502 is 2 x 251
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, 538) = 442774
GCD(823, 538) = ( 823 x 538 ) / 442774
GCD(823, 538) = 442774 / 442774
GCD(823, 538) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
GCD(1, 904) = 904 / 904
GCD(1, 904) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
GCD of 823, 538, 904, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 823, 538, 904, 502?
GCD of 823, 538, 904, 502 is 1
2. Where do I get the detailed procedure to find GCD of 823, 538, 904, 502?
You can find a detailed procedure to find GCD of 823, 538, 904, 502 on our page.
3. How to find GCD of 823, 538, 904, 502 on a calculator?
You can find the GCD of 823, 538, 904, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.