GCD of 493, 884, 38, 924 Calculator

Given Input numbers are 493, 884, 38, 924

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 493, 884, 38, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 884, 38, 924 is 1.

Therefore, GCD of numbers 493, 884, 38, 924 is 1

Given Input Data is 493, 884, 38, 924

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

Prime Factorization of 493 is 17 x 29

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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(493, 884) = 25636

GCD(493, 884) = ( 493 x 884 ) / 25636

GCD(493, 884) = 435812 / 25636

GCD(493, 884) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 38

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

LCM(17, 38) = 646

GCD(17, 38) = ( 17 x 38 ) / 646

GCD(17, 38) = 646 / 646

GCD(17, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 493, 884, 38, 924 is 1

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1. What is the GCD of 493, 884, 38, 924?

GCD of 493, 884, 38, 924 is 1

2. Where do I get the detailed procedure to find GCD of 493, 884, 38, 924?

You can find a detailed procedure to find GCD of 493, 884, 38, 924 on our page.

3. How to find GCD of 493, 884, 38, 924 on a calculator?

You can find the GCD of 493, 884, 38, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.