GCD of 327, 609, 83, 759 Calculator

Given Input numbers are 327, 609, 83, 759

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

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 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 327, 609, 83, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 609, 83, 759 is 1.

Therefore, GCD of numbers 327, 609, 83, 759 is 1

Given Input Data is 327, 609, 83, 759

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 83 is 83

Prime Factorization of 759 is 3 x 11 x 23

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(327, 609) = 66381

GCD(327, 609) = ( 327 x 609 ) / 66381

GCD(327, 609) = 199143 / 66381

GCD(327, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 327, 609, 83, 759 is 1

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1. What is the GCD of 327, 609, 83, 759?

GCD of 327, 609, 83, 759 is 1

2. Where do I get the detailed procedure to find GCD of 327, 609, 83, 759?

You can find a detailed procedure to find GCD of 327, 609, 83, 759 on our page.

3. How to find GCD of 327, 609, 83, 759 on a calculator?

You can find the GCD of 327, 609, 83, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.