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 984, 339, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 984, 339, 809 is 1
GCD(984, 339, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 984, 339, 809 is 1
GCD(984, 339, 809) = 1
Given Input numbers are 984, 339, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Greatest Common Divisior
We found the divisors of 984, 339, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 339, 809 is 1.
Therefore, GCD of numbers 984, 339, 809 is 1
Given Input Data is 984, 339, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 339 is 3 x 113
Prime Factorization of 809 is 809
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(984, 339) = 111192
GCD(984, 339) = ( 984 x 339 ) / 111192
GCD(984, 339) = 333576 / 111192
GCD(984, 339) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 809) = 2427
GCD(3, 809) = ( 3 x 809 ) / 2427
GCD(3, 809) = 2427 / 2427
GCD(3, 809) = 1
GCD of 984, 339, 809 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 984, 339, 809?
GCD of 984, 339, 809 is 1
2. Where do I get the detailed procedure to find GCD of 984, 339, 809?
You can find a detailed procedure to find GCD of 984, 339, 809 on our page.
3. How to find GCD of 984, 339, 809 on a calculator?
You can find the GCD of 984, 339, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.