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 685, 311, 205, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 685, 311, 205, 809 is 1
GCD(685, 311, 205, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 685, 311, 205, 809 is 1
GCD(685, 311, 205, 809) = 1
Given Input numbers are 685, 311, 205, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
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 685, 311, 205, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 311, 205, 809 is 1.
Therefore, GCD of numbers 685, 311, 205, 809 is 1
Given Input Data is 685, 311, 205, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 685 is 5 x 137
Prime Factorization of 311 is 311
Prime Factorization of 205 is 5 x 41
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(685, 311) = 213035
GCD(685, 311) = ( 685 x 311 ) / 213035
GCD(685, 311) = 213035 / 213035
GCD(685, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 205) = 205
GCD(1, 205) = ( 1 x 205 ) / 205
GCD(1, 205) = 205 / 205
GCD(1, 205) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 809) = 809
GCD(1, 809) = ( 1 x 809 ) / 809
GCD(1, 809) = 809 / 809
GCD(1, 809) = 1
GCD of 685, 311, 205, 809 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 685, 311, 205, 809?
GCD of 685, 311, 205, 809 is 1
2. Where do I get the detailed procedure to find GCD of 685, 311, 205, 809?
You can find a detailed procedure to find GCD of 685, 311, 205, 809 on our page.
3. How to find GCD of 685, 311, 205, 809 on a calculator?
You can find the GCD of 685, 311, 205, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.