GCD of 589, 410, 65, 298 Calculator

Given Input numbers are 589, 410, 65, 298

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

Divisors of 589

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

1, 19, 31, 589

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 298

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

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 589, 410, 65, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 410, 65, 298 is 1.

Therefore, GCD of numbers 589, 410, 65, 298 is 1

Given Input Data is 589, 410, 65, 298

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 65 is 5 x 13

Prime Factorization of 298 is 2 x 149

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(589, 410) = 241490

GCD(589, 410) = ( 589 x 410 ) / 241490

GCD(589, 410) = 241490 / 241490

GCD(589, 410) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 589, 410, 65, 298 is 1

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1. What is the GCD of 589, 410, 65, 298?

GCD of 589, 410, 65, 298 is 1

2. Where do I get the detailed procedure to find GCD of 589, 410, 65, 298?

You can find a detailed procedure to find GCD of 589, 410, 65, 298 on our page.

3. How to find GCD of 589, 410, 65, 298 on a calculator?

You can find the GCD of 589, 410, 65, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.