GCD of 20, 288, 808, 338 Calculator

Given Input numbers are 20, 288, 808, 338

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 20, 288, 808, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 288, 808, 338 is 2.

Therefore, GCD of numbers 20, 288, 808, 338 is 2

Given Input Data is 20, 288, 808, 338

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 338 is 2 x 13 x 13

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(20, 288) = 1440

GCD(20, 288) = ( 20 x 288 ) / 1440

GCD(20, 288) = 5760 / 1440

GCD(20, 288) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 808

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

LCM(4, 808) = 808

GCD(4, 808) = ( 4 x 808 ) / 808

GCD(4, 808) = 3232 / 808

GCD(4, 808) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 338

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

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

GCD(4, 338) = 1352 / 676

GCD(4, 338) = 2

GCD of 20, 288, 808, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 880, 718, 966
• GCD of 99, 234, 430, 660
• GCD of 94, 727, 574, 582
• GCD of 76, 158, 991, 466
• GCD of 97, 694, 630, 318

1. What is the GCD of 20, 288, 808, 338?

GCD of 20, 288, 808, 338 is 2

2. Where do I get the detailed procedure to find GCD of 20, 288, 808, 338?

You can find a detailed procedure to find GCD of 20, 288, 808, 338 on our page.

3. How to find GCD of 20, 288, 808, 338 on a calculator?

You can find the GCD of 20, 288, 808, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.