GCD of 576, 353, 279, 816 Calculator

Given Input numbers are 576, 353, 279, 816

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

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

Greatest Common Divisior

We found the divisors of 576, 353, 279, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 353, 279, 816 is 1.

Therefore, GCD of numbers 576, 353, 279, 816 is 1

Given Input Data is 576, 353, 279, 816

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 353 is 353

Prime Factorization of 279 is 3 x 3 x 31

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

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(576, 353) = 203328

GCD(576, 353) = ( 576 x 353 ) / 203328

GCD(576, 353) = 203328 / 203328

GCD(576, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 576, 353, 279, 816 is 1

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1. What is the GCD of 576, 353, 279, 816?

GCD of 576, 353, 279, 816 is 1

2. Where do I get the detailed procedure to find GCD of 576, 353, 279, 816?

You can find a detailed procedure to find GCD of 576, 353, 279, 816 on our page.

3. How to find GCD of 576, 353, 279, 816 on a calculator?

You can find the GCD of 576, 353, 279, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.