GCD of 30, 204, 720, 368 Calculator

Given Input numbers are 30, 204, 720, 368

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 30, 204, 720, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 204, 720, 368 is 2.

Therefore, GCD of numbers 30, 204, 720, 368 is 2

Given Input Data is 30, 204, 720, 368

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(30, 204) = 1020

GCD(30, 204) = ( 30 x 204 ) / 1020

GCD(30, 204) = 6120 / 1020

GCD(30, 204) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 720

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

LCM(6, 720) = 720

GCD(6, 720) = ( 6 x 720 ) / 720

GCD(6, 720) = 4320 / 720

GCD(6, 720) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 368

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

LCM(6, 368) = 1104

GCD(6, 368) = ( 6 x 368 ) / 1104

GCD(6, 368) = 2208 / 1104

GCD(6, 368) = 2

GCD of 30, 204, 720, 368 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 497, 916, 879
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1. What is the GCD of 30, 204, 720, 368?

GCD of 30, 204, 720, 368 is 2

2. Where do I get the detailed procedure to find GCD of 30, 204, 720, 368?

You can find a detailed procedure to find GCD of 30, 204, 720, 368 on our page.

3. How to find GCD of 30, 204, 720, 368 on a calculator?

You can find the GCD of 30, 204, 720, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.