GCD of 319, 789, 306, 330 Calculator

Given Input numbers are 319, 789, 306, 330

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 319, 789, 306, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 789, 306, 330 is 1.

Therefore, GCD of numbers 319, 789, 306, 330 is 1

Given Input Data is 319, 789, 306, 330

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 789 is 3 x 263

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 330 is 2 x 3 x 5 x 11

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(319, 789) = 251691

GCD(319, 789) = ( 319 x 789 ) / 251691

GCD(319, 789) = 251691 / 251691

GCD(319, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 319, 789, 306, 330 is 1

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1. What is the GCD of 319, 789, 306, 330?

GCD of 319, 789, 306, 330 is 1

2. Where do I get the detailed procedure to find GCD of 319, 789, 306, 330?

You can find a detailed procedure to find GCD of 319, 789, 306, 330 on our page.

3. How to find GCD of 319, 789, 306, 330 on a calculator?

You can find the GCD of 319, 789, 306, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.