GCD of 381, 459, 100, 993 Calculator

Given Input numbers are 381, 459, 100, 993

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

Divisors of 381

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

1, 3, 127, 381

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 381, 459, 100, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 459, 100, 993 is 1.

Therefore, GCD of numbers 381, 459, 100, 993 is 1

Given Input Data is 381, 459, 100, 993

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 459 is 3 x 3 x 3 x 17

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

Prime Factorization of 993 is 3 x 331

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(381, 459) = 58293

GCD(381, 459) = ( 381 x 459 ) / 58293

GCD(381, 459) = 174879 / 58293

GCD(381, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 100

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

LCM(3, 100) = 300

GCD(3, 100) = ( 3 x 100 ) / 300

GCD(3, 100) = 300 / 300

GCD(3, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 381, 459, 100, 993 is 1

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1. What is the GCD of 381, 459, 100, 993?

GCD of 381, 459, 100, 993 is 1

2. Where do I get the detailed procedure to find GCD of 381, 459, 100, 993?

You can find a detailed procedure to find GCD of 381, 459, 100, 993 on our page.

3. How to find GCD of 381, 459, 100, 993 on a calculator?

You can find the GCD of 381, 459, 100, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.