GCD of 796, 580, 96, 363 Calculator

Given Input numbers are 796, 580, 96, 363

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

Divisors of 796

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

1, 2, 4, 199, 398, 796

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 796, 580, 96, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 580, 96, 363 is 1.

Therefore, GCD of numbers 796, 580, 96, 363 is 1

Given Input Data is 796, 580, 96, 363

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 363 is 3 x 11 x 11

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(796, 580) = 115420

GCD(796, 580) = ( 796 x 580 ) / 115420

GCD(796, 580) = 461680 / 115420

GCD(796, 580) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 363

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

LCM(4, 363) = 1452

GCD(4, 363) = ( 4 x 363 ) / 1452

GCD(4, 363) = 1452 / 1452

GCD(4, 363) = 1

GCD of 796, 580, 96, 363 is 1

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1. What is the GCD of 796, 580, 96, 363?

GCD of 796, 580, 96, 363 is 1

2. Where do I get the detailed procedure to find GCD of 796, 580, 96, 363?

You can find a detailed procedure to find GCD of 796, 580, 96, 363 on our page.

3. How to find GCD of 796, 580, 96, 363 on a calculator?

You can find the GCD of 796, 580, 96, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.