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 396, 114, 566, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 114, 566, 291 is 1
GCD(396, 114, 566, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 114, 566, 291 is 1
GCD(396, 114, 566, 291) = 1
Given Input numbers are 396, 114, 566, 291
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 396, 114, 566, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 114, 566, 291 is 1.
Therefore, GCD of numbers 396, 114, 566, 291 is 1
Given Input Data is 396, 114, 566, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 566 is 2 x 283
Prime Factorization of 291 is 3 x 97
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(396, 114) = 7524
GCD(396, 114) = ( 396 x 114 ) / 7524
GCD(396, 114) = 45144 / 7524
GCD(396, 114) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 566) = 1698
GCD(6, 566) = ( 6 x 566 ) / 1698
GCD(6, 566) = 3396 / 1698
GCD(6, 566) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 291) = 582
GCD(2, 291) = ( 2 x 291 ) / 582
GCD(2, 291) = 582 / 582
GCD(2, 291) = 1
GCD of 396, 114, 566, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 114, 566, 291?
GCD of 396, 114, 566, 291 is 1
2. Where do I get the detailed procedure to find GCD of 396, 114, 566, 291?
You can find a detailed procedure to find GCD of 396, 114, 566, 291 on our page.
3. How to find GCD of 396, 114, 566, 291 on a calculator?
You can find the GCD of 396, 114, 566, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.