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 198, 806, 21 i.e. 1 largest integer that divides all the numbers equally.
GCD of 198, 806, 21 is 1
GCD(198, 806, 21) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 198, 806, 21 is 1
GCD(198, 806, 21) = 1
Given Input numbers are 198, 806, 21
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Greatest Common Divisior
We found the divisors of 198, 806, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 806, 21 is 1.
Therefore, GCD of numbers 198, 806, 21 is 1
Given Input Data is 198, 806, 21
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 806 is 2 x 13 x 31
Prime Factorization of 21 is 3 x 7
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(198, 806) = 79794
GCD(198, 806) = ( 198 x 806 ) / 79794
GCD(198, 806) = 159588 / 79794
GCD(198, 806) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 21) = 42
GCD(2, 21) = ( 2 x 21 ) / 42
GCD(2, 21) = 42 / 42
GCD(2, 21) = 1
GCD of 198, 806, 21 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 198, 806, 21?
GCD of 198, 806, 21 is 1
2. Where do I get the detailed procedure to find GCD of 198, 806, 21?
You can find a detailed procedure to find GCD of 198, 806, 21 on our page.
3. How to find GCD of 198, 806, 21 on a calculator?
You can find the GCD of 198, 806, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.