GCD of 816, 293, 78, 720 Calculator

Given Input numbers are 816, 293, 78, 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 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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, 293, 78, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 293, 78, 720 is 1.

Therefore, GCD of numbers 816, 293, 78, 720 is 1

Given Input Data is 816, 293, 78, 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 293 is 293

Prime Factorization of 78 is 2 x 3 x 13

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

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(816, 293) = 239088

GCD(816, 293) = ( 816 x 293 ) / 239088

GCD(816, 293) = 239088 / 239088

GCD(816, 293) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 816, 293, 78, 720 is 1

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1. What is the GCD of 816, 293, 78, 720?

GCD of 816, 293, 78, 720 is 1

2. Where do I get the detailed procedure to find GCD of 816, 293, 78, 720?

You can find a detailed procedure to find GCD of 816, 293, 78, 720 on our page.

3. How to find GCD of 816, 293, 78, 720 on a calculator?

You can find the GCD of 816, 293, 78, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.