GCD of 198, 940, 382 Calculator

Given Input numbers are 198, 940, 382

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 198, 940, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 940, 382 is 2.

Therefore, GCD of numbers 198, 940, 382 is 2

Given Input Data is 198, 940, 382

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 940 is 2 x 2 x 5 x 47

Prime Factorization of 382 is 2 x 191

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(198, 940) = 93060

GCD(198, 940) = ( 198 x 940 ) / 93060

GCD(198, 940) = 186120 / 93060

GCD(198, 940) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 198, 940, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 144, 319
• GCD of 133, 568, 464
• GCD of 262, 171, 216
• GCD of 163, 777, 224
• GCD of 143, 850, 125

1. What is the GCD of 198, 940, 382?

GCD of 198, 940, 382 is 2

2. Where do I get the detailed procedure to find GCD of 198, 940, 382?

You can find a detailed procedure to find GCD of 198, 940, 382 on our page.

3. How to find GCD of 198, 940, 382 on a calculator?

You can find the GCD of 198, 940, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.