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 320, 187, 12, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 187, 12, 318 is 1
GCD(320, 187, 12, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 187, 12, 318 is 1
GCD(320, 187, 12, 318) = 1
Given Input numbers are 320, 187, 12, 318
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 320, 187, 12, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 187, 12, 318 is 1.
Therefore, GCD of numbers 320, 187, 12, 318 is 1
Given Input Data is 320, 187, 12, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 187 is 11 x 17
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 318 is 2 x 3 x 53
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(320, 187) = 59840
GCD(320, 187) = ( 320 x 187 ) / 59840
GCD(320, 187) = 59840 / 59840
GCD(320, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
GCD of 320, 187, 12, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 187, 12, 318?
GCD of 320, 187, 12, 318 is 1
2. Where do I get the detailed procedure to find GCD of 320, 187, 12, 318?
You can find a detailed procedure to find GCD of 320, 187, 12, 318 on our page.
3. How to find GCD of 320, 187, 12, 318 on a calculator?
You can find the GCD of 320, 187, 12, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.