GCD of 998, 665, 589 Calculator

Given Input numbers are 998, 665, 589

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 589

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

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 998, 665, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 665, 589 is 1.

Therefore, GCD of numbers 998, 665, 589 is 1

Given Input Data is 998, 665, 589

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 589 is 19 x 31

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(998, 665) = 663670

GCD(998, 665) = ( 998 x 665 ) / 663670

GCD(998, 665) = 663670 / 663670

GCD(998, 665) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 998, 665, 589 is 1

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1. What is the GCD of 998, 665, 589?

GCD of 998, 665, 589 is 1

2. Where do I get the detailed procedure to find GCD of 998, 665, 589?

You can find a detailed procedure to find GCD of 998, 665, 589 on our page.

3. How to find GCD of 998, 665, 589 on a calculator?

You can find the GCD of 998, 665, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.