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 864, 285, 605, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 864, 285, 605, 381 is 1
GCD(864, 285, 605, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 285, 605, 381 is 1
GCD(864, 285, 605, 381) = 1
Given Input numbers are 864, 285, 605, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 864, 285, 605, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 285, 605, 381 is 1.
Therefore, GCD of numbers 864, 285, 605, 381 is 1
Given Input Data is 864, 285, 605, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 381 is 3 x 127
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(864, 285) = 82080
GCD(864, 285) = ( 864 x 285 ) / 82080
GCD(864, 285) = 246240 / 82080
GCD(864, 285) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 605) = 1815
GCD(3, 605) = ( 3 x 605 ) / 1815
GCD(3, 605) = 1815 / 1815
GCD(3, 605) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
GCD of 864, 285, 605, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 864, 285, 605, 381?
GCD of 864, 285, 605, 381 is 1
2. Where do I get the detailed procedure to find GCD of 864, 285, 605, 381?
You can find a detailed procedure to find GCD of 864, 285, 605, 381 on our page.
3. How to find GCD of 864, 285, 605, 381 on a calculator?
You can find the GCD of 864, 285, 605, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.