GCD of 198, 684, 15, 381 Calculator

Given Input numbers are 198, 684, 15, 381

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 198, 684, 15, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 684, 15, 381 is 3.

Therefore, GCD of numbers 198, 684, 15, 381 is 3

Given Input Data is 198, 684, 15, 381

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 15 is 3 x 5

Prime Factorization of 381 is 3 x 127

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(198, 684) = 7524

GCD(198, 684) = ( 198 x 684 ) / 7524

GCD(198, 684) = 135432 / 7524

GCD(198, 684) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 15

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

LCM(18, 15) = 90

GCD(18, 15) = ( 18 x 15 ) / 90

GCD(18, 15) = 270 / 90

GCD(18, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 381

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

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

GCD(3, 381) = 1143 / 381

GCD(3, 381) = 3

GCD of 198, 684, 15, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 208, 50, 981
• GCD of 924, 584, 64, 335
• GCD of 952, 485, 39, 689
• GCD of 256, 196, 56, 770
• GCD of 891, 637, 32, 703

1. What is the GCD of 198, 684, 15, 381?

GCD of 198, 684, 15, 381 is 3

2. Where do I get the detailed procedure to find GCD of 198, 684, 15, 381?

You can find a detailed procedure to find GCD of 198, 684, 15, 381 on our page.

3. How to find GCD of 198, 684, 15, 381 on a calculator?

You can find the GCD of 198, 684, 15, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.