GCD of 38, 518, 990, 921 Calculator

Given Input numbers are 38, 518, 990, 921

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

Divisors of 38

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

1, 2, 19, 38

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 38, 518, 990, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 518, 990, 921 is 1.

Therefore, GCD of numbers 38, 518, 990, 921 is 1

Given Input Data is 38, 518, 990, 921

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 921 is 3 x 307

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(38, 518) = 9842

GCD(38, 518) = ( 38 x 518 ) / 9842

GCD(38, 518) = 19684 / 9842

GCD(38, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

GCD of 38, 518, 990, 921 is 1

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1. What is the GCD of 38, 518, 990, 921?

GCD of 38, 518, 990, 921 is 1

2. Where do I get the detailed procedure to find GCD of 38, 518, 990, 921?

You can find a detailed procedure to find GCD of 38, 518, 990, 921 on our page.

3. How to find GCD of 38, 518, 990, 921 on a calculator?

You can find the GCD of 38, 518, 990, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.