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 513, 204, 825, 311 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 204, 825, 311 is 1
GCD(513, 204, 825, 311) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 204, 825, 311 is 1
GCD(513, 204, 825, 311) = 1
Given Input numbers are 513, 204, 825, 311
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Greatest Common Divisior
We found the divisors of 513, 204, 825, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 204, 825, 311 is 1.
Therefore, GCD of numbers 513, 204, 825, 311 is 1
Given Input Data is 513, 204, 825, 311
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 311 is 311
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(513, 204) = 34884
GCD(513, 204) = ( 513 x 204 ) / 34884
GCD(513, 204) = 104652 / 34884
GCD(513, 204) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
GCD(3, 825) = 2475 / 825
GCD(3, 825) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 311) = 933
GCD(3, 311) = ( 3 x 311 ) / 933
GCD(3, 311) = 933 / 933
GCD(3, 311) = 1
GCD of 513, 204, 825, 311 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 204, 825, 311?
GCD of 513, 204, 825, 311 is 1
2. Where do I get the detailed procedure to find GCD of 513, 204, 825, 311?
You can find a detailed procedure to find GCD of 513, 204, 825, 311 on our page.
3. How to find GCD of 513, 204, 825, 311 on a calculator?
You can find the GCD of 513, 204, 825, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.