GCD of 800, 806, 72, 329 Calculator

Given Input numbers are 800, 806, 72, 329

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 329

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

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 800, 806, 72, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 806, 72, 329 is 1.

Therefore, GCD of numbers 800, 806, 72, 329 is 1

Given Input Data is 800, 806, 72, 329

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 329 is 7 x 47

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(800, 806) = 322400

GCD(800, 806) = ( 800 x 806 ) / 322400

GCD(800, 806) = 644800 / 322400

GCD(800, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 329

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

LCM(2, 329) = 658

GCD(2, 329) = ( 2 x 329 ) / 658

GCD(2, 329) = 658 / 658

GCD(2, 329) = 1

GCD of 800, 806, 72, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 901, 24, 889
• GCD of 340, 164, 40, 671
• GCD of 231, 513, 41, 487
• GCD of 340, 932, 65, 793
• GCD of 250, 735, 29, 395

1. What is the GCD of 800, 806, 72, 329?

GCD of 800, 806, 72, 329 is 1

2. Where do I get the detailed procedure to find GCD of 800, 806, 72, 329?

You can find a detailed procedure to find GCD of 800, 806, 72, 329 on our page.

3. How to find GCD of 800, 806, 72, 329 on a calculator?

You can find the GCD of 800, 806, 72, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.