GCD of 405, 266, 13, 514 Calculator

Given Input numbers are 405, 266, 13, 514

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

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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 405, 266, 13, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 266, 13, 514 is 1.

Therefore, GCD of numbers 405, 266, 13, 514 is 1

Given Input Data is 405, 266, 13, 514

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

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 13 is 13

Prime Factorization of 514 is 2 x 257

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(405, 266) = 107730

GCD(405, 266) = ( 405 x 266 ) / 107730

GCD(405, 266) = 107730 / 107730

GCD(405, 266) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 405, 266, 13, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 818, 53, 612
• GCD of 315, 691, 70, 713
• GCD of 236, 296, 29, 443
• GCD of 129, 611, 28, 758
• GCD of 876, 316, 21, 589

1. What is the GCD of 405, 266, 13, 514?

GCD of 405, 266, 13, 514 is 1

2. Where do I get the detailed procedure to find GCD of 405, 266, 13, 514?

You can find a detailed procedure to find GCD of 405, 266, 13, 514 on our page.

3. How to find GCD of 405, 266, 13, 514 on a calculator?

You can find the GCD of 405, 266, 13, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.