GCD of 298, 589, 561 Calculator

Given Input numbers are 298, 589, 561

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 298, 589, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 589, 561 is 1.

Therefore, GCD of numbers 298, 589, 561 is 1

Given Input Data is 298, 589, 561

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 589 is 19 x 31

Prime Factorization of 561 is 3 x 11 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(298, 589) = 175522

GCD(298, 589) = ( 298 x 589 ) / 175522

GCD(298, 589) = 175522 / 175522

GCD(298, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 298, 589, 561 is 1

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1. What is the GCD of 298, 589, 561?

GCD of 298, 589, 561 is 1

2. Where do I get the detailed procedure to find GCD of 298, 589, 561?

You can find a detailed procedure to find GCD of 298, 589, 561 on our page.

3. How to find GCD of 298, 589, 561 on a calculator?

You can find the GCD of 298, 589, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.