GCD of 329, 115, 192, 816 Calculator

Given Input numbers are 329, 115, 192, 816

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

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 329, 115, 192, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 115, 192, 816 is 1.

Therefore, GCD of numbers 329, 115, 192, 816 is 1

Given Input Data is 329, 115, 192, 816

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

Prime Factorization of 329 is 7 x 47

Prime Factorization of 115 is 5 x 23

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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(329, 115) = 37835

GCD(329, 115) = ( 329 x 115 ) / 37835

GCD(329, 115) = 37835 / 37835

GCD(329, 115) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 192

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

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

GCD(1, 192) = 192 / 192

GCD(1, 192) = 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 329, 115, 192, 816 is 1

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1. What is the GCD of 329, 115, 192, 816?

GCD of 329, 115, 192, 816 is 1

2. Where do I get the detailed procedure to find GCD of 329, 115, 192, 816?

You can find a detailed procedure to find GCD of 329, 115, 192, 816 on our page.

3. How to find GCD of 329, 115, 192, 816 on a calculator?

You can find the GCD of 329, 115, 192, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.