GCD of 816, 316, 720 Calculator

Given Input numbers are 816, 316, 720

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

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

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

Greatest Common Divisior

We found the divisors of 816, 316, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 316, 720 is 4.

Therefore, GCD of numbers 816, 316, 720 is 4

Given Input Data is 816, 316, 720

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

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

Prime Factorization of 316 is 2 x 2 x 79

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

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(816, 316) = 64464

GCD(816, 316) = ( 816 x 316 ) / 64464

GCD(816, 316) = 257856 / 64464

GCD(816, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 720

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

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

GCD(4, 720) = 2880 / 720

GCD(4, 720) = 4

GCD of 816, 316, 720 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 746, 924
• GCD of 521, 237, 316
• GCD of 561, 965, 255
• GCD of 721, 167, 345
• GCD of 252, 638, 732

1. What is the GCD of 816, 316, 720?

GCD of 816, 316, 720 is 4

2. Where do I get the detailed procedure to find GCD of 816, 316, 720?

You can find a detailed procedure to find GCD of 816, 316, 720 on our page.

3. How to find GCD of 816, 316, 720 on a calculator?

You can find the GCD of 816, 316, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.