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 249, 388, 256, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 388, 256, 393 is 1
GCD(249, 388, 256, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 388, 256, 393 is 1
GCD(249, 388, 256, 393) = 1
Given Input numbers are 249, 388, 256, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
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 249, 388, 256, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 388, 256, 393 is 1.
Therefore, GCD of numbers 249, 388, 256, 393 is 1
Given Input Data is 249, 388, 256, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
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(249, 388) = 96612
GCD(249, 388) = ( 249 x 388 ) / 96612
GCD(249, 388) = 96612 / 96612
GCD(249, 388) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 256
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 256) = 256
GCD(1, 256) = ( 1 x 256 ) / 256
GCD(1, 256) = 256 / 256
GCD(1, 256) = 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 249, 388, 256, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 388, 256, 393?
GCD of 249, 388, 256, 393 is 1
2. Where do I get the detailed procedure to find GCD of 249, 388, 256, 393?
You can find a detailed procedure to find GCD of 249, 388, 256, 393 on our page.
3. How to find GCD of 249, 388, 256, 393 on a calculator?
You can find the GCD of 249, 388, 256, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.