GCD of 808, 972, 810 Calculator

Given Input numbers are 808, 972, 810

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

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 808, 972, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 972, 810 is 2.

Therefore, GCD of numbers 808, 972, 810 is 2

Given Input Data is 808, 972, 810

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

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 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(808, 972) = 196344

GCD(808, 972) = ( 808 x 972 ) / 196344

GCD(808, 972) = 785376 / 196344

GCD(808, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 810

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

LCM(4, 810) = 1620

GCD(4, 810) = ( 4 x 810 ) / 1620

GCD(4, 810) = 3240 / 1620

GCD(4, 810) = 2

GCD of 808, 972, 810 is 2

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1. What is the GCD of 808, 972, 810?

GCD of 808, 972, 810 is 2

2. Where do I get the detailed procedure to find GCD of 808, 972, 810?

You can find a detailed procedure to find GCD of 808, 972, 810 on our page.

3. How to find GCD of 808, 972, 810 on a calculator?

You can find the GCD of 808, 972, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.