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 809, 807, 321, 558 i.e. 1 largest integer that divides all the numbers equally.
GCD of 809, 807, 321, 558 is 1
GCD(809, 807, 321, 558) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 809, 807, 321, 558 is 1
GCD(809, 807, 321, 558) = 1
Given Input numbers are 809, 807, 321, 558
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Greatest Common Divisior
We found the divisors of 809, 807, 321, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 807, 321, 558 is 1.
Therefore, GCD of numbers 809, 807, 321, 558 is 1
Given Input Data is 809, 807, 321, 558
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 809 is 809
Prime Factorization of 807 is 3 x 269
Prime Factorization of 321 is 3 x 107
Prime Factorization of 558 is 2 x 3 x 3 x 31
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(809, 807) = 652863
GCD(809, 807) = ( 809 x 807 ) / 652863
GCD(809, 807) = 652863 / 652863
GCD(809, 807) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 558
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 558) = 558
GCD(1, 558) = ( 1 x 558 ) / 558
GCD(1, 558) = 558 / 558
GCD(1, 558) = 1
GCD of 809, 807, 321, 558 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 809, 807, 321, 558?
GCD of 809, 807, 321, 558 is 1
2. Where do I get the detailed procedure to find GCD of 809, 807, 321, 558?
You can find a detailed procedure to find GCD of 809, 807, 321, 558 on our page.
3. How to find GCD of 809, 807, 321, 558 on a calculator?
You can find the GCD of 809, 807, 321, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.