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 18, 609, 333, 341 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 609, 333, 341 is 1
GCD(18, 609, 333, 341) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 609, 333, 341 is 1
GCD(18, 609, 333, 341) = 1
Given Input numbers are 18, 609, 333, 341
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Greatest Common Divisior
We found the divisors of 18, 609, 333, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 609, 333, 341 is 1.
Therefore, GCD of numbers 18, 609, 333, 341 is 1
Given Input Data is 18, 609, 333, 341
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 341 is 11 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(18, 609) = 3654
GCD(18, 609) = ( 18 x 609 ) / 3654
GCD(18, 609) = 10962 / 3654
GCD(18, 609) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 333
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 333) = 333
GCD(3, 333) = ( 3 x 333 ) / 333
GCD(3, 333) = 999 / 333
GCD(3, 333) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 341) = 1023
GCD(3, 341) = ( 3 x 341 ) / 1023
GCD(3, 341) = 1023 / 1023
GCD(3, 341) = 1
GCD of 18, 609, 333, 341 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 609, 333, 341?
GCD of 18, 609, 333, 341 is 1
2. Where do I get the detailed procedure to find GCD of 18, 609, 333, 341?
You can find a detailed procedure to find GCD of 18, 609, 333, 341 on our page.
3. How to find GCD of 18, 609, 333, 341 on a calculator?
You can find the GCD of 18, 609, 333, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.