GCD of 384, 583, 506, 209 Calculator

Given Input numbers are 384, 583, 506, 209

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

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 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 384, 583, 506, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 583, 506, 209 is 1.

Therefore, GCD of numbers 384, 583, 506, 209 is 1

Given Input Data is 384, 583, 506, 209

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

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

Prime Factorization of 583 is 11 x 53

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 209 is 11 x 19

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(384, 583) = 223872

GCD(384, 583) = ( 384 x 583 ) / 223872

GCD(384, 583) = 223872 / 223872

GCD(384, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 384, 583, 506, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 660, 118, 889
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1. What is the GCD of 384, 583, 506, 209?

GCD of 384, 583, 506, 209 is 1

2. Where do I get the detailed procedure to find GCD of 384, 583, 506, 209?

You can find a detailed procedure to find GCD of 384, 583, 506, 209 on our page.

3. How to find GCD of 384, 583, 506, 209 on a calculator?

You can find the GCD of 384, 583, 506, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.