GCD of 209, 288, 259, 506 Calculator

Given Input numbers are 209, 288, 259, 506

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

Divisors of 209

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

1, 11, 19, 209

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 506

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

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

Greatest Common Divisior

We found the divisors of 209, 288, 259, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 288, 259, 506 is 1.

Therefore, GCD of numbers 209, 288, 259, 506 is 1

Given Input Data is 209, 288, 259, 506

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 259 is 7 x 37

Prime Factorization of 506 is 2 x 11 x 23

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(209, 288) = 60192

GCD(209, 288) = ( 209 x 288 ) / 60192

GCD(209, 288) = 60192 / 60192

GCD(209, 288) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

Step3:

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

GCD of 209, 288, 259, 506 is 1

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1. What is the GCD of 209, 288, 259, 506?

GCD of 209, 288, 259, 506 is 1

2. Where do I get the detailed procedure to find GCD of 209, 288, 259, 506?

You can find a detailed procedure to find GCD of 209, 288, 259, 506 on our page.

3. How to find GCD of 209, 288, 259, 506 on a calculator?

You can find the GCD of 209, 288, 259, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.