GCD of 100, 998, 18, 392 Calculator

Given Input numbers are 100, 998, 18, 392

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

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 100, 998, 18, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 998, 18, 392 is 2.

Therefore, GCD of numbers 100, 998, 18, 392 is 2

Given Input Data is 100, 998, 18, 392

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

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(100, 998) = 49900

GCD(100, 998) = ( 100 x 998 ) / 49900

GCD(100, 998) = 99800 / 49900

GCD(100, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 100, 998, 18, 392 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 287, 64, 252
• GCD of 699, 502, 75, 313
• GCD of 400, 684, 93, 756
• GCD of 819, 361, 92, 195
• GCD of 154, 104, 81, 280

1. What is the GCD of 100, 998, 18, 392?

GCD of 100, 998, 18, 392 is 2

2. Where do I get the detailed procedure to find GCD of 100, 998, 18, 392?

You can find a detailed procedure to find GCD of 100, 998, 18, 392 on our page.

3. How to find GCD of 100, 998, 18, 392 on a calculator?

You can find the GCD of 100, 998, 18, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.