GCD of 585, 856, 12 Calculator

Given Input numbers are 585, 856, 12

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 585, 856, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 856, 12 is 1.

Therefore, GCD of numbers 585, 856, 12 is 1

Given Input Data is 585, 856, 12

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 12 is 2 x 2 x 3

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(585, 856) = 500760

GCD(585, 856) = ( 585 x 856 ) / 500760

GCD(585, 856) = 500760 / 500760

GCD(585, 856) = 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

GCD of 585, 856, 12 is 1

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1. What is the GCD of 585, 856, 12?

GCD of 585, 856, 12 is 1

2. Where do I get the detailed procedure to find GCD of 585, 856, 12?

You can find a detailed procedure to find GCD of 585, 856, 12 on our page.

3. How to find GCD of 585, 856, 12 on a calculator?

You can find the GCD of 585, 856, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.