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 600, 209, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 209, 797 is 1
GCD(600, 209, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 209, 797 is 1
GCD(600, 209, 797) = 1
Given Input numbers are 600, 209, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 600, 209, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 209, 797 is 1.
Therefore, GCD of numbers 600, 209, 797 is 1
Given Input Data is 600, 209, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 209 is 11 x 19
Prime Factorization of 797 is 797
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(600, 209) = 125400
GCD(600, 209) = ( 600 x 209 ) / 125400
GCD(600, 209) = 125400 / 125400
GCD(600, 209) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 600, 209, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 209, 797?
GCD of 600, 209, 797 is 1
2. Where do I get the detailed procedure to find GCD of 600, 209, 797?
You can find a detailed procedure to find GCD of 600, 209, 797 on our page.
3. How to find GCD of 600, 209, 797 on a calculator?
You can find the GCD of 600, 209, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.