GCD of 800, 146, 11, 399 Calculator

Given Input numbers are 800, 146, 11, 399

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 800, 146, 11, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 146, 11, 399 is 1.

Therefore, GCD of numbers 800, 146, 11, 399 is 1

Given Input Data is 800, 146, 11, 399

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 146 is 2 x 73

Prime Factorization of 11 is 11

Prime Factorization of 399 is 3 x 7 x 19

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, 146) = 58400

GCD(800, 146) = ( 800 x 146 ) / 58400

GCD(800, 146) = 116800 / 58400

GCD(800, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

GCD of 800, 146, 11, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 709, 29, 135
• GCD of 899, 405, 92, 793
• GCD of 542, 823, 76, 298
• GCD of 645, 315, 91, 725
• GCD of 670, 219, 34, 834

1. What is the GCD of 800, 146, 11, 399?

GCD of 800, 146, 11, 399 is 1

2. Where do I get the detailed procedure to find GCD of 800, 146, 11, 399?

You can find a detailed procedure to find GCD of 800, 146, 11, 399 on our page.

3. How to find GCD of 800, 146, 11, 399 on a calculator?

You can find the GCD of 800, 146, 11, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.