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 57, 816, 468, 481 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 816, 468, 481 is 1
GCD(57, 816, 468, 481) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 816, 468, 481 is 1
GCD(57, 816, 468, 481) = 1
Given Input numbers are 57, 816, 468, 481
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Greatest Common Divisior
We found the divisors of 57, 816, 468, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 816, 468, 481 is 1.
Therefore, GCD of numbers 57, 816, 468, 481 is 1
Given Input Data is 57, 816, 468, 481
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 481 is 13 x 37
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(57, 816) = 15504
GCD(57, 816) = ( 57 x 816 ) / 15504
GCD(57, 816) = 46512 / 15504
GCD(57, 816) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 468) = 468
GCD(3, 468) = ( 3 x 468 ) / 468
GCD(3, 468) = 1404 / 468
GCD(3, 468) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 481
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 481) = 1443
GCD(3, 481) = ( 3 x 481 ) / 1443
GCD(3, 481) = 1443 / 1443
GCD(3, 481) = 1
GCD of 57, 816, 468, 481 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 816, 468, 481?
GCD of 57, 816, 468, 481 is 1
2. Where do I get the detailed procedure to find GCD of 57, 816, 468, 481?
You can find a detailed procedure to find GCD of 57, 816, 468, 481 on our page.
3. How to find GCD of 57, 816, 468, 481 on a calculator?
You can find the GCD of 57, 816, 468, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.