GCD of 216, 380, 816, 304 Calculator

Given Input numbers are 216, 380, 816, 304

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 216, 380, 816, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 380, 816, 304 is 4.

Therefore, GCD of numbers 216, 380, 816, 304 is 4

Given Input Data is 216, 380, 816, 304

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(216, 380) = 20520

GCD(216, 380) = ( 216 x 380 ) / 20520

GCD(216, 380) = 82080 / 20520

GCD(216, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 816

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

LCM(4, 816) = 816

GCD(4, 816) = ( 4 x 816 ) / 816

GCD(4, 816) = 3264 / 816

GCD(4, 816) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 304

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

LCM(4, 304) = 304

GCD(4, 304) = ( 4 x 304 ) / 304

GCD(4, 304) = 1216 / 304

GCD(4, 304) = 4

GCD of 216, 380, 816, 304 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 264, 269, 464
• GCD of 571, 426, 536, 206
• GCD of 626, 293, 956, 316
• GCD of 696, 390, 680, 652
• GCD of 685, 794, 273, 750

1. What is the GCD of 216, 380, 816, 304?

GCD of 216, 380, 816, 304 is 4

2. Where do I get the detailed procedure to find GCD of 216, 380, 816, 304?

You can find a detailed procedure to find GCD of 216, 380, 816, 304 on our page.

3. How to find GCD of 216, 380, 816, 304 on a calculator?

You can find the GCD of 216, 380, 816, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.