GCD of 648, 609, 24 Calculator

Given Input numbers are 648, 609, 24

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

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Greatest Common Divisior

We found the divisors of 648, 609, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 609, 24 is 3.

Therefore, GCD of numbers 648, 609, 24 is 3

Given Input Data is 648, 609, 24

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

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 24 is 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(648, 609) = 131544

GCD(648, 609) = ( 648 x 609 ) / 131544

GCD(648, 609) = 394632 / 131544

GCD(648, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

GCD of 648, 609, 24 is 3

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1. What is the GCD of 648, 609, 24?

GCD of 648, 609, 24 is 3

2. Where do I get the detailed procedure to find GCD of 648, 609, 24?

You can find a detailed procedure to find GCD of 648, 609, 24 on our page.

3. How to find GCD of 648, 609, 24 on a calculator?

You can find the GCD of 648, 609, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.