GCD of 322, 609, 529, 508 Calculator

Given Input numbers are 322, 609, 529, 508

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 322, 609, 529, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 609, 529, 508 is 1.

Therefore, GCD of numbers 322, 609, 529, 508 is 1

Given Input Data is 322, 609, 529, 508

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 529 is 23 x 23

Prime Factorization of 508 is 2 x 2 x 127

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(322, 609) = 28014

GCD(322, 609) = ( 322 x 609 ) / 28014

GCD(322, 609) = 196098 / 28014

GCD(322, 609) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 529

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

LCM(7, 529) = 3703

GCD(7, 529) = ( 7 x 529 ) / 3703

GCD(7, 529) = 3703 / 3703

GCD(7, 529) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 322, 609, 529, 508 is 1

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1. What is the GCD of 322, 609, 529, 508?

GCD of 322, 609, 529, 508 is 1

2. Where do I get the detailed procedure to find GCD of 322, 609, 529, 508?

You can find a detailed procedure to find GCD of 322, 609, 529, 508 on our page.

3. How to find GCD of 322, 609, 529, 508 on a calculator?

You can find the GCD of 322, 609, 529, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.