GCD of 208, 800, 48, 810 Calculator

Given Input numbers are 208, 800, 48, 810

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 208, 800, 48, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 800, 48, 810 is 2.

Therefore, GCD of numbers 208, 800, 48, 810 is 2

Given Input Data is 208, 800, 48, 810

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

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(208, 800) = 10400

GCD(208, 800) = ( 208 x 800 ) / 10400

GCD(208, 800) = 166400 / 10400

GCD(208, 800) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 48

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

LCM(16, 48) = 48

GCD(16, 48) = ( 16 x 48 ) / 48

GCD(16, 48) = 768 / 48

GCD(16, 48) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 810

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

LCM(16, 810) = 6480

GCD(16, 810) = ( 16 x 810 ) / 6480

GCD(16, 810) = 12960 / 6480

GCD(16, 810) = 2

GCD of 208, 800, 48, 810 is 2

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1. What is the GCD of 208, 800, 48, 810?

GCD of 208, 800, 48, 810 is 2

2. Where do I get the detailed procedure to find GCD of 208, 800, 48, 810?

You can find a detailed procedure to find GCD of 208, 800, 48, 810 on our page.

3. How to find GCD of 208, 800, 48, 810 on a calculator?

You can find the GCD of 208, 800, 48, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.