GCD of 512, 800, 96, 585 Calculator

Given Input numbers are 512, 800, 96, 585

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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

Greatest Common Divisior

We found the divisors of 512, 800, 96, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 800, 96, 585 is 1.

Therefore, GCD of numbers 512, 800, 96, 585 is 1

Given Input Data is 512, 800, 96, 585

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

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(512, 800) = 12800

GCD(512, 800) = ( 512 x 800 ) / 12800

GCD(512, 800) = 409600 / 12800

GCD(512, 800) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 96

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

LCM(32, 96) = 96

GCD(32, 96) = ( 32 x 96 ) / 96

GCD(32, 96) = 3072 / 96

GCD(32, 96) = 32

Step3:

Here we consider the GCD from the above i.e. 32 as first number and the next as 585

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

LCM(32, 585) = 18720

GCD(32, 585) = ( 32 x 585 ) / 18720

GCD(32, 585) = 18720 / 18720

GCD(32, 585) = 1

GCD of 512, 800, 96, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 462, 16, 659
• GCD of 424, 652, 20, 896
• GCD of 396, 143, 76, 255
• GCD of 509, 726, 40, 141
• GCD of 184, 420, 43, 976

1. What is the GCD of 512, 800, 96, 585?

GCD of 512, 800, 96, 585 is 1

2. Where do I get the detailed procedure to find GCD of 512, 800, 96, 585?

You can find a detailed procedure to find GCD of 512, 800, 96, 585 on our page.

3. How to find GCD of 512, 800, 96, 585 on a calculator?

You can find the GCD of 512, 800, 96, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.