GCD of 322, 796, 80, 404 Calculator

Given Input numbers are 322, 796, 80, 404

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 796

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

1, 2, 4, 199, 398, 796

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 322, 796, 80, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 796, 80, 404 is 2.

Therefore, GCD of numbers 322, 796, 80, 404 is 2

Given Input Data is 322, 796, 80, 404

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 404 is 2 x 2 x 101

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(322, 796) = 128156

GCD(322, 796) = ( 322 x 796 ) / 128156

GCD(322, 796) = 256312 / 128156

GCD(322, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 322, 796, 80, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 978, 75, 215
• GCD of 939, 420, 15, 764
• GCD of 867, 246, 41, 775
• GCD of 612, 237, 65, 742
• GCD of 400, 873, 43, 172

1. What is the GCD of 322, 796, 80, 404?

GCD of 322, 796, 80, 404 is 2

2. Where do I get the detailed procedure to find GCD of 322, 796, 80, 404?

You can find a detailed procedure to find GCD of 322, 796, 80, 404 on our page.

3. How to find GCD of 322, 796, 80, 404 on a calculator?

You can find the GCD of 322, 796, 80, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.