GCD of 198, 510, 796 Calculator

Given Input numbers are 198, 510, 796

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 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 198, 510, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 510, 796 is 2.

Therefore, GCD of numbers 198, 510, 796 is 2

Given Input Data is 198, 510, 796

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 510 is 2 x 3 x 5 x 17

Prime Factorization of 796 is 2 x 2 x 199

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, 510) = 16830

GCD(198, 510) = ( 198 x 510 ) / 16830

GCD(198, 510) = 100980 / 16830

GCD(198, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 796

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

LCM(6, 796) = 2388

GCD(6, 796) = ( 6 x 796 ) / 2388

GCD(6, 796) = 4776 / 2388

GCD(6, 796) = 2

GCD of 198, 510, 796 is 2

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1. What is the GCD of 198, 510, 796?

GCD of 198, 510, 796 is 2

2. Where do I get the detailed procedure to find GCD of 198, 510, 796?

You can find a detailed procedure to find GCD of 198, 510, 796 on our page.

3. How to find GCD of 198, 510, 796 on a calculator?

You can find the GCD of 198, 510, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.