GCD of 405, 474, 907, 884 Calculator

Given Input numbers are 405, 474, 907, 884

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 405, 474, 907, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 474, 907, 884 is 1.

Therefore, GCD of numbers 405, 474, 907, 884 is 1

Given Input Data is 405, 474, 907, 884

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 474 is 2 x 3 x 79

Prime Factorization of 907 is 907

Prime Factorization of 884 is 2 x 2 x 13 x 17

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, 474) = 63990

GCD(405, 474) = ( 405 x 474 ) / 63990

GCD(405, 474) = 191970 / 63990

GCD(405, 474) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 907

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

LCM(3, 907) = 2721

GCD(3, 907) = ( 3 x 907 ) / 2721

GCD(3, 907) = 2721 / 2721

GCD(3, 907) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 405, 474, 907, 884 is 1

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1. What is the GCD of 405, 474, 907, 884?

GCD of 405, 474, 907, 884 is 1

2. Where do I get the detailed procedure to find GCD of 405, 474, 907, 884?

You can find a detailed procedure to find GCD of 405, 474, 907, 884 on our page.

3. How to find GCD of 405, 474, 907, 884 on a calculator?

You can find the GCD of 405, 474, 907, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.