GCD of 103, 999, 22, 394 Calculator

Given Input numbers are 103, 999, 22, 394

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 103, 999, 22, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 999, 22, 394 is 1.

Therefore, GCD of numbers 103, 999, 22, 394 is 1

Given Input Data is 103, 999, 22, 394

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

Prime Factorization of 103 is 103

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 22 is 2 x 11

Prime Factorization of 394 is 2 x 197

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(103, 999) = 102897

GCD(103, 999) = ( 103 x 999 ) / 102897

GCD(103, 999) = 102897 / 102897

GCD(103, 999) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 103, 999, 22, 394 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 427, 75, 173
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• GCD of 535, 282, 21, 369
• GCD of 124, 186, 54, 436

1. What is the GCD of 103, 999, 22, 394?

GCD of 103, 999, 22, 394 is 1

2. Where do I get the detailed procedure to find GCD of 103, 999, 22, 394?

You can find a detailed procedure to find GCD of 103, 999, 22, 394 on our page.

3. How to find GCD of 103, 999, 22, 394 on a calculator?

You can find the GCD of 103, 999, 22, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.