GCD of 460, 384, 808, 587 Calculator

Given Input numbers are 460, 384, 808, 587

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Greatest Common Divisior

We found the divisors of 460, 384, 808, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 384, 808, 587 is 1.

Therefore, GCD of numbers 460, 384, 808, 587 is 1

Given Input Data is 460, 384, 808, 587

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 587 is 587

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(460, 384) = 44160

GCD(460, 384) = ( 460 x 384 ) / 44160

GCD(460, 384) = 176640 / 44160

GCD(460, 384) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 808

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

LCM(4, 808) = 808

GCD(4, 808) = ( 4 x 808 ) / 808

GCD(4, 808) = 3232 / 808

GCD(4, 808) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 587

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

LCM(4, 587) = 2348

GCD(4, 587) = ( 4 x 587 ) / 2348

GCD(4, 587) = 2348 / 2348

GCD(4, 587) = 1

GCD of 460, 384, 808, 587 is 1

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1. What is the GCD of 460, 384, 808, 587?

GCD of 460, 384, 808, 587 is 1

2. Where do I get the detailed procedure to find GCD of 460, 384, 808, 587?

You can find a detailed procedure to find GCD of 460, 384, 808, 587 on our page.

3. How to find GCD of 460, 384, 808, 587 on a calculator?

You can find the GCD of 460, 384, 808, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.