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 813, 583, 126, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 583, 126, 216 is 1
GCD(813, 583, 126, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 583, 126, 216 is 1
GCD(813, 583, 126, 216) = 1
Given Input numbers are 813, 583, 126, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 813, 583, 126, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 583, 126, 216 is 1.
Therefore, GCD of numbers 813, 583, 126, 216 is 1
Given Input Data is 813, 583, 126, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 583 is 11 x 53
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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(813, 583) = 473979
GCD(813, 583) = ( 813 x 583 ) / 473979
GCD(813, 583) = 473979 / 473979
GCD(813, 583) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 813, 583, 126, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 583, 126, 216?
GCD of 813, 583, 126, 216 is 1
2. Where do I get the detailed procedure to find GCD of 813, 583, 126, 216?
You can find a detailed procedure to find GCD of 813, 583, 126, 216 on our page.
3. How to find GCD of 813, 583, 126, 216 on a calculator?
You can find the GCD of 813, 583, 126, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.