GCD of 462, 327, 339, 872 Calculator

Given Input numbers are 462, 327, 339, 872

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 327

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

1, 3, 109, 327

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 462, 327, 339, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 327, 339, 872 is 1.

Therefore, GCD of numbers 462, 327, 339, 872 is 1

Given Input Data is 462, 327, 339, 872

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 327 is 3 x 109

Prime Factorization of 339 is 3 x 113

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(462, 327) = 50358

GCD(462, 327) = ( 462 x 327 ) / 50358

GCD(462, 327) = 151074 / 50358

GCD(462, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 339

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

LCM(3, 339) = 339

GCD(3, 339) = ( 3 x 339 ) / 339

GCD(3, 339) = 1017 / 339

GCD(3, 339) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 872

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

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

GCD(3, 872) = 2616 / 2616

GCD(3, 872) = 1

GCD of 462, 327, 339, 872 is 1

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• GCD of 856, 943, 535, 722
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1. What is the GCD of 462, 327, 339, 872?

GCD of 462, 327, 339, 872 is 1

2. Where do I get the detailed procedure to find GCD of 462, 327, 339, 872?

You can find a detailed procedure to find GCD of 462, 327, 339, 872 on our page.

3. How to find GCD of 462, 327, 339, 872 on a calculator?

You can find the GCD of 462, 327, 339, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.