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 218, 618, 813 i.e. 1 largest integer that divides all the numbers equally.
GCD of 218, 618, 813 is 1
GCD(218, 618, 813) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 218, 618, 813 is 1
GCD(218, 618, 813) = 1
Given Input numbers are 218, 618, 813
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Greatest Common Divisior
We found the divisors of 218, 618, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 618, 813 is 1.
Therefore, GCD of numbers 218, 618, 813 is 1
Given Input Data is 218, 618, 813
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 218 is 2 x 109
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 813 is 3 x 271
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(218, 618) = 67362
GCD(218, 618) = ( 218 x 618 ) / 67362
GCD(218, 618) = 134724 / 67362
GCD(218, 618) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 813
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 813) = 1626
GCD(2, 813) = ( 2 x 813 ) / 1626
GCD(2, 813) = 1626 / 1626
GCD(2, 813) = 1
GCD of 218, 618, 813 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 218, 618, 813?
GCD of 218, 618, 813 is 1
2. Where do I get the detailed procedure to find GCD of 218, 618, 813?
You can find a detailed procedure to find GCD of 218, 618, 813 on our page.
3. How to find GCD of 218, 618, 813 on a calculator?
You can find the GCD of 218, 618, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.