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, 284, 812, 591 i.e. 1 largest integer that divides all the numbers equally.
GCD of 318, 284, 812, 591 is 1
GCD(318, 284, 812, 591) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 284, 812, 591 is 1
GCD(318, 284, 812, 591) = 1
Given Input numbers are 318, 284, 812, 591
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 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Greatest Common Divisior
We found the divisors of 318, 284, 812, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 284, 812, 591 is 1.
Therefore, GCD of numbers 318, 284, 812, 591 is 1
Given Input Data is 318, 284, 812, 591
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 284 is 2 x 2 x 71
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 591 is 3 x 197
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, 284) = 45156
GCD(318, 284) = ( 318 x 284 ) / 45156
GCD(318, 284) = 90312 / 45156
GCD(318, 284) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 812) = 812
GCD(2, 812) = ( 2 x 812 ) / 812
GCD(2, 812) = 1624 / 812
GCD(2, 812) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 591) = 1182
GCD(2, 591) = ( 2 x 591 ) / 1182
GCD(2, 591) = 1182 / 1182
GCD(2, 591) = 1
GCD of 318, 284, 812, 591 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 284, 812, 591?
GCD of 318, 284, 812, 591 is 1
2. Where do I get the detailed procedure to find GCD of 318, 284, 812, 591?
You can find a detailed procedure to find GCD of 318, 284, 812, 591 on our page.
3. How to find GCD of 318, 284, 812, 591 on a calculator?
You can find the GCD of 318, 284, 812, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.