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 808, 809, 48, 516 i.e. 1 largest integer that divides all the numbers equally.
GCD of 808, 809, 48, 516 is 1
GCD(808, 809, 48, 516) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 809, 48, 516 is 1
GCD(808, 809, 48, 516) = 1
Given Input numbers are 808, 809, 48, 516
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Greatest Common Divisior
We found the divisors of 808, 809, 48, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 809, 48, 516 is 1.
Therefore, GCD of numbers 808, 809, 48, 516 is 1
Given Input Data is 808, 809, 48, 516
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 809 is 809
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 516 is 2 x 2 x 3 x 43
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(808, 809) = 653672
GCD(808, 809) = ( 808 x 809 ) / 653672
GCD(808, 809) = 653672 / 653672
GCD(808, 809) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 516
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 516) = 516
GCD(1, 516) = ( 1 x 516 ) / 516
GCD(1, 516) = 516 / 516
GCD(1, 516) = 1
GCD of 808, 809, 48, 516 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 809, 48, 516?
GCD of 808, 809, 48, 516 is 1
2. Where do I get the detailed procedure to find GCD of 808, 809, 48, 516?
You can find a detailed procedure to find GCD of 808, 809, 48, 516 on our page.
3. How to find GCD of 808, 809, 48, 516 on a calculator?
You can find the GCD of 808, 809, 48, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.