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 256, 681, 12, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 256, 681, 12, 427 is 1
GCD(256, 681, 12, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 256, 681, 12, 427 is 1
GCD(256, 681, 12, 427) = 1
Given Input numbers are 256, 681, 12, 427
To find the GCD of numbers using factoring list out all the divisors of each number
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 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 256, 681, 12, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 681, 12, 427 is 1.
Therefore, GCD of numbers 256, 681, 12, 427 is 1
Given Input Data is 256, 681, 12, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 681 is 3 x 227
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 427 is 7 x 61
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(256, 681) = 174336
GCD(256, 681) = ( 256 x 681 ) / 174336
GCD(256, 681) = 174336 / 174336
GCD(256, 681) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 256, 681, 12, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 256, 681, 12, 427?
GCD of 256, 681, 12, 427 is 1
2. Where do I get the detailed procedure to find GCD of 256, 681, 12, 427?
You can find a detailed procedure to find GCD of 256, 681, 12, 427 on our page.
3. How to find GCD of 256, 681, 12, 427 on a calculator?
You can find the GCD of 256, 681, 12, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.