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 816, 218, 14, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 218, 14, 513 is 1
GCD(816, 218, 14, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 218, 14, 513 is 1
GCD(816, 218, 14, 513) = 1
Given Input numbers are 816, 218, 14, 513
To find the GCD of numbers using factoring list out all the divisors of each number
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 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 816, 218, 14, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 218, 14, 513 is 1.
Therefore, GCD of numbers 816, 218, 14, 513 is 1
Given Input Data is 816, 218, 14, 513
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 218 is 2 x 109
Prime Factorization of 14 is 2 x 7
Prime Factorization of 513 is 3 x 3 x 3 x 19
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(816, 218) = 88944
GCD(816, 218) = ( 816 x 218 ) / 88944
GCD(816, 218) = 177888 / 88944
GCD(816, 218) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 14) = 14
GCD(2, 14) = ( 2 x 14 ) / 14
GCD(2, 14) = 28 / 14
GCD(2, 14) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 513) = 1026
GCD(2, 513) = ( 2 x 513 ) / 1026
GCD(2, 513) = 1026 / 1026
GCD(2, 513) = 1
GCD of 816, 218, 14, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 218, 14, 513?
GCD of 816, 218, 14, 513 is 1
2. Where do I get the detailed procedure to find GCD of 816, 218, 14, 513?
You can find a detailed procedure to find GCD of 816, 218, 14, 513 on our page.
3. How to find GCD of 816, 218, 14, 513 on a calculator?
You can find the GCD of 816, 218, 14, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.