GCD of 20, 801, 405, 311 Calculator

Given Input numbers are 20, 801, 405, 311

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 20, 801, 405, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 801, 405, 311 is 1.

Therefore, GCD of numbers 20, 801, 405, 311 is 1

Given Input Data is 20, 801, 405, 311

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 311 is 311

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(20, 801) = 16020

GCD(20, 801) = ( 20 x 801 ) / 16020

GCD(20, 801) = 16020 / 16020

GCD(20, 801) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 20, 801, 405, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 205, 642, 242
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• GCD of 97, 254, 684, 715

1. What is the GCD of 20, 801, 405, 311?

GCD of 20, 801, 405, 311 is 1

2. Where do I get the detailed procedure to find GCD of 20, 801, 405, 311?

You can find a detailed procedure to find GCD of 20, 801, 405, 311 on our page.

3. How to find GCD of 20, 801, 405, 311 on a calculator?

You can find the GCD of 20, 801, 405, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.