GCD of 289, 569, 272, 459 Calculator

Given Input numbers are 289, 569, 272, 459

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 289, 569, 272, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 569, 272, 459 is 1.

Therefore, GCD of numbers 289, 569, 272, 459 is 1

Given Input Data is 289, 569, 272, 459

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 569 is 569

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(289, 569) = 164441

GCD(289, 569) = ( 289 x 569 ) / 164441

GCD(289, 569) = 164441 / 164441

GCD(289, 569) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 289, 569, 272, 459 is 1

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1. What is the GCD of 289, 569, 272, 459?

GCD of 289, 569, 272, 459 is 1

2. Where do I get the detailed procedure to find GCD of 289, 569, 272, 459?

You can find a detailed procedure to find GCD of 289, 569, 272, 459 on our page.

3. How to find GCD of 289, 569, 272, 459 on a calculator?

You can find the GCD of 289, 569, 272, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.