GCD of 406, 924, 20, 457 Calculator

Given Input numbers are 406, 924, 20, 457

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 406, 924, 20, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 924, 20, 457 is 1.

Therefore, GCD of numbers 406, 924, 20, 457 is 1

Given Input Data is 406, 924, 20, 457

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 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 457 is 457

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, 924) = 26796

GCD(406, 924) = ( 406 x 924 ) / 26796

GCD(406, 924) = 375144 / 26796

GCD(406, 924) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 20

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

LCM(14, 20) = 140

GCD(14, 20) = ( 14 x 20 ) / 140

GCD(14, 20) = 280 / 140

GCD(14, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 457

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

LCM(2, 457) = 914

GCD(2, 457) = ( 2 x 457 ) / 914

GCD(2, 457) = 914 / 914

GCD(2, 457) = 1

GCD of 406, 924, 20, 457 is 1

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1. What is the GCD of 406, 924, 20, 457?

GCD of 406, 924, 20, 457 is 1

2. Where do I get the detailed procedure to find GCD of 406, 924, 20, 457?

You can find a detailed procedure to find GCD of 406, 924, 20, 457 on our page.

3. How to find GCD of 406, 924, 20, 457 on a calculator?

You can find the GCD of 406, 924, 20, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.