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 209, 668, 80, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 209, 668, 80, 683 is 1
GCD(209, 668, 80, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 209, 668, 80, 683 is 1
GCD(209, 668, 80, 683) = 1
Given Input numbers are 209, 668, 80, 683
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 209, 668, 80, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 668, 80, 683 is 1.
Therefore, GCD of numbers 209, 668, 80, 683 is 1
Given Input Data is 209, 668, 80, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 209 is 11 x 19
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 683 is 683
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(209, 668) = 139612
GCD(209, 668) = ( 209 x 668 ) / 139612
GCD(209, 668) = 139612 / 139612
GCD(209, 668) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
GCD of 209, 668, 80, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 209, 668, 80, 683?
GCD of 209, 668, 80, 683 is 1
2. Where do I get the detailed procedure to find GCD of 209, 668, 80, 683?
You can find a detailed procedure to find GCD of 209, 668, 80, 683 on our page.
3. How to find GCD of 209, 668, 80, 683 on a calculator?
You can find the GCD of 209, 668, 80, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.