GCD of 117, 384, 72, 198 Calculator

Given Input numbers are 117, 384, 72, 198

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

Greatest Common Divisior

We found the divisors of 117, 384, 72, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 384, 72, 198 is 3.

Therefore, GCD of numbers 117, 384, 72, 198 is 3

Given Input Data is 117, 384, 72, 198

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

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(117, 384) = 14976

GCD(117, 384) = ( 117 x 384 ) / 14976

GCD(117, 384) = 44928 / 14976

GCD(117, 384) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 198

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

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

GCD(3, 198) = 594 / 198

GCD(3, 198) = 3

GCD of 117, 384, 72, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 598, 83, 175
• GCD of 552, 661, 92, 372
• GCD of 629, 685, 36, 759
• GCD of 603, 197, 59, 327
• GCD of 192, 569, 34, 214

1. What is the GCD of 117, 384, 72, 198?

GCD of 117, 384, 72, 198 is 3

2. Where do I get the detailed procedure to find GCD of 117, 384, 72, 198?

You can find a detailed procedure to find GCD of 117, 384, 72, 198 on our page.

3. How to find GCD of 117, 384, 72, 198 on a calculator?

You can find the GCD of 117, 384, 72, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.