GCD of 585, 912, 84, 796 Calculator

Given Input numbers are 585, 912, 84, 796

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 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 585, 912, 84, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 912, 84, 796 is 1.

Therefore, GCD of numbers 585, 912, 84, 796 is 1

Given Input Data is 585, 912, 84, 796

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 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 796 is 2 x 2 x 199

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, 912) = 177840

GCD(585, 912) = ( 585 x 912 ) / 177840

GCD(585, 912) = 533520 / 177840

GCD(585, 912) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 796

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 796) = 2388

GCD(3, 796) = ( 3 x 796 ) / 2388

GCD(3, 796) = 2388 / 2388

GCD(3, 796) = 1

GCD of 585, 912, 84, 796 is 1

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1. What is the GCD of 585, 912, 84, 796?

GCD of 585, 912, 84, 796 is 1

2. Where do I get the detailed procedure to find GCD of 585, 912, 84, 796?

You can find a detailed procedure to find GCD of 585, 912, 84, 796 on our page.

3. How to find GCD of 585, 912, 84, 796 on a calculator?

You can find the GCD of 585, 912, 84, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.