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 117, 287, 40, 594 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 287, 40, 594 is 1
GCD(117, 287, 40, 594) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 287, 40, 594 is 1
GCD(117, 287, 40, 594) = 1
Given Input numbers are 117, 287, 40, 594
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Greatest Common Divisior
We found the divisors of 117, 287, 40, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 287, 40, 594 is 1.
Therefore, GCD of numbers 117, 287, 40, 594 is 1
Given Input Data is 117, 287, 40, 594
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 287 is 7 x 41
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
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(117, 287) = 33579
GCD(117, 287) = ( 117 x 287 ) / 33579
GCD(117, 287) = 33579 / 33579
GCD(117, 287) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 594
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 594) = 594
GCD(1, 594) = ( 1 x 594 ) / 594
GCD(1, 594) = 594 / 594
GCD(1, 594) = 1
GCD of 117, 287, 40, 594 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 287, 40, 594?
GCD of 117, 287, 40, 594 is 1
2. Where do I get the detailed procedure to find GCD of 117, 287, 40, 594?
You can find a detailed procedure to find GCD of 117, 287, 40, 594 on our page.
3. How to find GCD of 117, 287, 40, 594 on a calculator?
You can find the GCD of 117, 287, 40, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.