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 912, 332, 24, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 912, 332, 24, 393 is 1
GCD(912, 332, 24, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 912, 332, 24, 393 is 1
GCD(912, 332, 24, 393) = 1
Given Input numbers are 912, 332, 24, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Greatest Common Divisior
We found the divisors of 912, 332, 24, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 332, 24, 393 is 1.
Therefore, GCD of numbers 912, 332, 24, 393 is 1
Given Input Data is 912, 332, 24, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 393 is 3 x 131
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(912, 332) = 75696
GCD(912, 332) = ( 912 x 332 ) / 75696
GCD(912, 332) = 302784 / 75696
GCD(912, 332) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 24) = 24
GCD(4, 24) = ( 4 x 24 ) / 24
GCD(4, 24) = 96 / 24
GCD(4, 24) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 393) = 1572
GCD(4, 393) = ( 4 x 393 ) / 1572
GCD(4, 393) = 1572 / 1572
GCD(4, 393) = 1
GCD of 912, 332, 24, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 912, 332, 24, 393?
GCD of 912, 332, 24, 393 is 1
2. Where do I get the detailed procedure to find GCD of 912, 332, 24, 393?
You can find a detailed procedure to find GCD of 912, 332, 24, 393 on our page.
3. How to find GCD of 912, 332, 24, 393 on a calculator?
You can find the GCD of 912, 332, 24, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.