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, 402, 191, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 402, 191, 494 is 1
GCD(18, 402, 191, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 402, 191, 494 is 1
GCD(18, 402, 191, 494) = 1
Given Input numbers are 18, 402, 191, 494
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 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 18, 402, 191, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 402, 191, 494 is 1.
Therefore, GCD of numbers 18, 402, 191, 494 is 1
Given Input Data is 18, 402, 191, 494
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 402 is 2 x 3 x 67
Prime Factorization of 191 is 191
Prime Factorization of 494 is 2 x 13 x 19
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, 402) = 1206
GCD(18, 402) = ( 18 x 402 ) / 1206
GCD(18, 402) = 7236 / 1206
GCD(18, 402) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 191) = 1146
GCD(6, 191) = ( 6 x 191 ) / 1146
GCD(6, 191) = 1146 / 1146
GCD(6, 191) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
GCD(1, 494) = 494 / 494
GCD(1, 494) = 1
GCD of 18, 402, 191, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 402, 191, 494?
GCD of 18, 402, 191, 494 is 1
2. Where do I get the detailed procedure to find GCD of 18, 402, 191, 494?
You can find a detailed procedure to find GCD of 18, 402, 191, 494 on our page.
3. How to find GCD of 18, 402, 191, 494 on a calculator?
You can find the GCD of 18, 402, 191, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.