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, 294, 361, 509 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 294, 361, 509 is 1
GCD(18, 294, 361, 509) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 294, 361, 509 is 1
GCD(18, 294, 361, 509) = 1
Given Input numbers are 18, 294, 361, 509
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 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Greatest Common Divisior
We found the divisors of 18, 294, 361, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 294, 361, 509 is 1.
Therefore, GCD of numbers 18, 294, 361, 509 is 1
Given Input Data is 18, 294, 361, 509
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 294 is 2 x 3 x 7 x 7
Prime Factorization of 361 is 19 x 19
Prime Factorization of 509 is 509
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, 294) = 882
GCD(18, 294) = ( 18 x 294 ) / 882
GCD(18, 294) = 5292 / 882
GCD(18, 294) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 361) = 2166
GCD(6, 361) = ( 6 x 361 ) / 2166
GCD(6, 361) = 2166 / 2166
GCD(6, 361) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
GCD of 18, 294, 361, 509 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 294, 361, 509?
GCD of 18, 294, 361, 509 is 1
2. Where do I get the detailed procedure to find GCD of 18, 294, 361, 509?
You can find a detailed procedure to find GCD of 18, 294, 361, 509 on our page.
3. How to find GCD of 18, 294, 361, 509 on a calculator?
You can find the GCD of 18, 294, 361, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.