GCD of 798, 589, 648 Calculator

Given Input numbers are 798, 589, 648

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 589

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

1, 19, 31, 589

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 798, 589, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 589, 648 is 1.

Therefore, GCD of numbers 798, 589, 648 is 1

Given Input Data is 798, 589, 648

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 589 is 19 x 31

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(798, 589) = 24738

GCD(798, 589) = ( 798 x 589 ) / 24738

GCD(798, 589) = 470022 / 24738

GCD(798, 589) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 648

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

LCM(19, 648) = 12312

GCD(19, 648) = ( 19 x 648 ) / 12312

GCD(19, 648) = 12312 / 12312

GCD(19, 648) = 1

GCD of 798, 589, 648 is 1

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1. What is the GCD of 798, 589, 648?

GCD of 798, 589, 648 is 1

2. Where do I get the detailed procedure to find GCD of 798, 589, 648?

You can find a detailed procedure to find GCD of 798, 589, 648 on our page.

3. How to find GCD of 798, 589, 648 on a calculator?

You can find the GCD of 798, 589, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.