GCD of 646, 506, 609 Calculator

Given Input numbers are 646, 506, 609

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 609

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

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

Greatest Common Divisior

We found the divisors of 646, 506, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 506, 609 is 1.

Therefore, GCD of numbers 646, 506, 609 is 1

Given Input Data is 646, 506, 609

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 609 is 3 x 7 x 29

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(646, 506) = 163438

GCD(646, 506) = ( 646 x 506 ) / 163438

GCD(646, 506) = 326876 / 163438

GCD(646, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

GCD of 646, 506, 609 is 1

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1. What is the GCD of 646, 506, 609?

GCD of 646, 506, 609 is 1

2. Where do I get the detailed procedure to find GCD of 646, 506, 609?

You can find a detailed procedure to find GCD of 646, 506, 609 on our page.

3. How to find GCD of 646, 506, 609 on a calculator?

You can find the GCD of 646, 506, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.