GCD of 904, 517, 38, 884 Calculator

Given Input numbers are 904, 517, 38, 884

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 38

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

1, 2, 19, 38

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 904, 517, 38, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 517, 38, 884 is 1.

Therefore, GCD of numbers 904, 517, 38, 884 is 1

Given Input Data is 904, 517, 38, 884

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 517 is 11 x 47

Prime Factorization of 38 is 2 x 19

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(904, 517) = 467368

GCD(904, 517) = ( 904 x 517 ) / 467368

GCD(904, 517) = 467368 / 467368

GCD(904, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 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 904, 517, 38, 884 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 432, 95, 524
• GCD of 362, 973, 91, 753
• GCD of 119, 310, 50, 963
• GCD of 455, 401, 25, 993
• GCD of 515, 846, 13, 244

1. What is the GCD of 904, 517, 38, 884?

GCD of 904, 517, 38, 884 is 1

2. Where do I get the detailed procedure to find GCD of 904, 517, 38, 884?

You can find a detailed procedure to find GCD of 904, 517, 38, 884 on our page.

3. How to find GCD of 904, 517, 38, 884 on a calculator?

You can find the GCD of 904, 517, 38, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.