GCD of 810, 326, 680 Calculator

Given Input numbers are 810, 326, 680

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

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 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 810, 326, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 326, 680 is 2.

Therefore, GCD of numbers 810, 326, 680 is 2

Given Input Data is 810, 326, 680

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

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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(810, 326) = 132030

GCD(810, 326) = ( 810 x 326 ) / 132030

GCD(810, 326) = 264060 / 132030

GCD(810, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

GCD of 810, 326, 680 is 2

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1. What is the GCD of 810, 326, 680?

GCD of 810, 326, 680 is 2

2. Where do I get the detailed procedure to find GCD of 810, 326, 680?

You can find a detailed procedure to find GCD of 810, 326, 680 on our page.

3. How to find GCD of 810, 326, 680 on a calculator?

You can find the GCD of 810, 326, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.