GCD of 406, 300, 812, 303 Calculator

Given Input numbers are 406, 300, 812, 303

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 406, 300, 812, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 300, 812, 303 is 1.

Therefore, GCD of numbers 406, 300, 812, 303 is 1

Given Input Data is 406, 300, 812, 303

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 303 is 3 x 101

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(406, 300) = 60900

GCD(406, 300) = ( 406 x 300 ) / 60900

GCD(406, 300) = 121800 / 60900

GCD(406, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 812

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

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

GCD(2, 812) = 1624 / 812

GCD(2, 812) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 303

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

LCM(2, 303) = 606

GCD(2, 303) = ( 2 x 303 ) / 606

GCD(2, 303) = 606 / 606

GCD(2, 303) = 1

GCD of 406, 300, 812, 303 is 1

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1. What is the GCD of 406, 300, 812, 303?

GCD of 406, 300, 812, 303 is 1

2. Where do I get the detailed procedure to find GCD of 406, 300, 812, 303?

You can find a detailed procedure to find GCD of 406, 300, 812, 303 on our page.

3. How to find GCD of 406, 300, 812, 303 on a calculator?

You can find the GCD of 406, 300, 812, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.