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 323, 304, 82, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 304, 82, 533 is 1
GCD(323, 304, 82, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 304, 82, 533 is 1
GCD(323, 304, 82, 533) = 1
Given Input numbers are 323, 304, 82, 533
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 323, 304, 82, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 304, 82, 533 is 1.
Therefore, GCD of numbers 323, 304, 82, 533 is 1
Given Input Data is 323, 304, 82, 533
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 82 is 2 x 41
Prime Factorization of 533 is 13 x 41
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(323, 304) = 5168
GCD(323, 304) = ( 323 x 304 ) / 5168
GCD(323, 304) = 98192 / 5168
GCD(323, 304) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 82) = 1558
GCD(19, 82) = ( 19 x 82 ) / 1558
GCD(19, 82) = 1558 / 1558
GCD(19, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
GCD(1, 533) = 533 / 533
GCD(1, 533) = 1
GCD of 323, 304, 82, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 304, 82, 533?
GCD of 323, 304, 82, 533 is 1
2. Where do I get the detailed procedure to find GCD of 323, 304, 82, 533?
You can find a detailed procedure to find GCD of 323, 304, 82, 533 on our page.
3. How to find GCD of 323, 304, 82, 533 on a calculator?
You can find the GCD of 323, 304, 82, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.