GCD of 858, 311, 20, 405 Calculator

Given Input numbers are 858, 311, 20, 405

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

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 311

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

1, 311

Divisors of 20

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

1, 2, 4, 5, 10, 20

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

Greatest Common Divisior

We found the divisors of 858, 311, 20, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 311, 20, 405 is 1.

Therefore, GCD of numbers 858, 311, 20, 405 is 1

Given Input Data is 858, 311, 20, 405

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 311 is 311

Prime Factorization of 20 is 2 x 2 x 5

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

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(858, 311) = 266838

GCD(858, 311) = ( 858 x 311 ) / 266838

GCD(858, 311) = 266838 / 266838

GCD(858, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

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

GCD of 858, 311, 20, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 284, 57, 949
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• GCD of 667, 472, 97, 714

1. What is the GCD of 858, 311, 20, 405?

GCD of 858, 311, 20, 405 is 1

2. Where do I get the detailed procedure to find GCD of 858, 311, 20, 405?

You can find a detailed procedure to find GCD of 858, 311, 20, 405 on our page.

3. How to find GCD of 858, 311, 20, 405 on a calculator?

You can find the GCD of 858, 311, 20, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.