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 318, 796, 18, 189 i.e. 1 largest integer that divides all the numbers equally.
GCD of 318, 796, 18, 189 is 1
GCD(318, 796, 18, 189) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 796, 18, 189 is 1
GCD(318, 796, 18, 189) = 1
Given Input numbers are 318, 796, 18, 189
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Greatest Common Divisior
We found the divisors of 318, 796, 18, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 796, 18, 189 is 1.
Therefore, GCD of numbers 318, 796, 18, 189 is 1
Given Input Data is 318, 796, 18, 189
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 189 is 3 x 3 x 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(318, 796) = 126564
GCD(318, 796) = ( 318 x 796 ) / 126564
GCD(318, 796) = 253128 / 126564
GCD(318, 796) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 189) = 378
GCD(2, 189) = ( 2 x 189 ) / 378
GCD(2, 189) = 378 / 378
GCD(2, 189) = 1
GCD of 318, 796, 18, 189 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 796, 18, 189?
GCD of 318, 796, 18, 189 is 1
2. Where do I get the detailed procedure to find GCD of 318, 796, 18, 189?
You can find a detailed procedure to find GCD of 318, 796, 18, 189 on our page.
3. How to find GCD of 318, 796, 18, 189 on a calculator?
You can find the GCD of 318, 796, 18, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.