GCD of 990, 100, 187, 381 Calculator

Given Input numbers are 990, 100, 187, 381

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

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 990, 100, 187, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 100, 187, 381 is 1.

Therefore, GCD of numbers 990, 100, 187, 381 is 1

Given Input Data is 990, 100, 187, 381

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

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 187 is 11 x 17

Prime Factorization of 381 is 3 x 127

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(990, 100) = 9900

GCD(990, 100) = ( 990 x 100 ) / 9900

GCD(990, 100) = 99000 / 9900

GCD(990, 100) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 187

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

LCM(10, 187) = 1870

GCD(10, 187) = ( 10 x 187 ) / 1870

GCD(10, 187) = 1870 / 1870

GCD(10, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 990, 100, 187, 381 is 1

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1. What is the GCD of 990, 100, 187, 381?

GCD of 990, 100, 187, 381 is 1

2. Where do I get the detailed procedure to find GCD of 990, 100, 187, 381?

You can find a detailed procedure to find GCD of 990, 100, 187, 381 on our page.

3. How to find GCD of 990, 100, 187, 381 on a calculator?

You can find the GCD of 990, 100, 187, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.