GCD of 309, 330, 378, 572 Calculator

Given Input numbers are 309, 330, 378, 572

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 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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 309, 330, 378, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 330, 378, 572 is 1.

Therefore, GCD of numbers 309, 330, 378, 572 is 1

Given Input Data is 309, 330, 378, 572

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

Prime Factorization of 309 is 3 x 103

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 572 is 2 x 2 x 11 x 13

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, 330) = 33990

GCD(309, 330) = ( 309 x 330 ) / 33990

GCD(309, 330) = 101970 / 33990

GCD(309, 330) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 378

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

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

GCD(3, 378) = 1134 / 378

GCD(3, 378) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 572

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

LCM(3, 572) = 1716

GCD(3, 572) = ( 3 x 572 ) / 1716

GCD(3, 572) = 1716 / 1716

GCD(3, 572) = 1

GCD of 309, 330, 378, 572 is 1

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1. What is the GCD of 309, 330, 378, 572?

GCD of 309, 330, 378, 572 is 1

2. Where do I get the detailed procedure to find GCD of 309, 330, 378, 572?

You can find a detailed procedure to find GCD of 309, 330, 378, 572 on our page.

3. How to find GCD of 309, 330, 378, 572 on a calculator?

You can find the GCD of 309, 330, 378, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.