GCD of 344, 810, 286 Calculator

Given Input numbers are 344, 810, 286

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 344, 810, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 810, 286 is 2.

Therefore, GCD of numbers 344, 810, 286 is 2

Given Input Data is 344, 810, 286

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

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

Prime Factorization of 286 is 2 x 11 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(344, 810) = 139320

GCD(344, 810) = ( 344 x 810 ) / 139320

GCD(344, 810) = 278640 / 139320

GCD(344, 810) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 286

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

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

GCD(2, 286) = 572 / 286

GCD(2, 286) = 2

GCD of 344, 810, 286 is 2

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1. What is the GCD of 344, 810, 286?

GCD of 344, 810, 286 is 2

2. Where do I get the detailed procedure to find GCD of 344, 810, 286?

You can find a detailed procedure to find GCD of 344, 810, 286 on our page.

3. How to find GCD of 344, 810, 286 on a calculator?

You can find the GCD of 344, 810, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.