GCD of 368, 990, 17, 796 Calculator

Given Input numbers are 368, 990, 17, 796

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 368, 990, 17, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 990, 17, 796 is 1.

Therefore, GCD of numbers 368, 990, 17, 796 is 1

Given Input Data is 368, 990, 17, 796

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 17 is 17

Prime Factorization of 796 is 2 x 2 x 199

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(368, 990) = 182160

GCD(368, 990) = ( 368 x 990 ) / 182160

GCD(368, 990) = 364320 / 182160

GCD(368, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 368, 990, 17, 796 is 1

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1. What is the GCD of 368, 990, 17, 796?

GCD of 368, 990, 17, 796 is 1

2. Where do I get the detailed procedure to find GCD of 368, 990, 17, 796?

You can find a detailed procedure to find GCD of 368, 990, 17, 796 on our page.

3. How to find GCD of 368, 990, 17, 796 on a calculator?

You can find the GCD of 368, 990, 17, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.