GCD of 309, 321, 871 Calculator

Given Input numbers are 309, 321, 871

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 309, 321, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 321, 871 is 1.

Therefore, GCD of numbers 309, 321, 871 is 1

Given Input Data is 309, 321, 871

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 321 is 3 x 107

Prime Factorization of 871 is 13 x 67

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(309, 321) = 33063

GCD(309, 321) = ( 309 x 321 ) / 33063

GCD(309, 321) = 99189 / 33063

GCD(309, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 871

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

LCM(3, 871) = 2613

GCD(3, 871) = ( 3 x 871 ) / 2613

GCD(3, 871) = 2613 / 2613

GCD(3, 871) = 1

GCD of 309, 321, 871 is 1

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1. What is the GCD of 309, 321, 871?

GCD of 309, 321, 871 is 1

2. Where do I get the detailed procedure to find GCD of 309, 321, 871?

You can find a detailed procedure to find GCD of 309, 321, 871 on our page.

3. How to find GCD of 309, 321, 871 on a calculator?

You can find the GCD of 309, 321, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.