GCD of 806, 384, 664, 198 Calculator

Given Input numbers are 806, 384, 664, 198

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

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 806, 384, 664, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 384, 664, 198 is 2.

Therefore, GCD of numbers 806, 384, 664, 198 is 2

Given Input Data is 806, 384, 664, 198

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

Prime Factorization of 806 is 2 x 13 x 31

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

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

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(806, 384) = 154752

GCD(806, 384) = ( 806 x 384 ) / 154752

GCD(806, 384) = 309504 / 154752

GCD(806, 384) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 664

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

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

GCD(2, 664) = 1328 / 664

GCD(2, 664) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

GCD of 806, 384, 664, 198 is 2

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1. What is the GCD of 806, 384, 664, 198?

GCD of 806, 384, 664, 198 is 2

2. Where do I get the detailed procedure to find GCD of 806, 384, 664, 198?

You can find a detailed procedure to find GCD of 806, 384, 664, 198 on our page.

3. How to find GCD of 806, 384, 664, 198 on a calculator?

You can find the GCD of 806, 384, 664, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.