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 285, 256, 18, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 285, 256, 18, 376 is 1
GCD(285, 256, 18, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 256, 18, 376 is 1
GCD(285, 256, 18, 376) = 1
Given Input numbers are 285, 256, 18, 376
To find the GCD of numbers using factoring list out all the divisors of each number
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 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 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 285, 256, 18, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 256, 18, 376 is 1.
Therefore, GCD of numbers 285, 256, 18, 376 is 1
Given Input Data is 285, 256, 18, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(285, 256) = 72960
GCD(285, 256) = ( 285 x 256 ) / 72960
GCD(285, 256) = 72960 / 72960
GCD(285, 256) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 285, 256, 18, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 285, 256, 18, 376?
GCD of 285, 256, 18, 376 is 1
2. Where do I get the detailed procedure to find GCD of 285, 256, 18, 376?
You can find a detailed procedure to find GCD of 285, 256, 18, 376 on our page.
3. How to find GCD of 285, 256, 18, 376 on a calculator?
You can find the GCD of 285, 256, 18, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.