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 457, 912, 29, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 457, 912, 29, 393 is 1
GCD(457, 912, 29, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 457, 912, 29, 393 is 1
GCD(457, 912, 29, 393) = 1
Given Input numbers are 457, 912, 29, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
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 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
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 457, 912, 29, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 912, 29, 393 is 1.
Therefore, GCD of numbers 457, 912, 29, 393 is 1
Given Input Data is 457, 912, 29, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 457 is 457
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 29 is 29
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(457, 912) = 416784
GCD(457, 912) = ( 457 x 912 ) / 416784
GCD(457, 912) = 416784 / 416784
GCD(457, 912) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
GCD of 457, 912, 29, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 457, 912, 29, 393?
GCD of 457, 912, 29, 393 is 1
2. Where do I get the detailed procedure to find GCD of 457, 912, 29, 393?
You can find a detailed procedure to find GCD of 457, 912, 29, 393 on our page.
3. How to find GCD of 457, 912, 29, 393 on a calculator?
You can find the GCD of 457, 912, 29, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.