GCD of 894, 264, 20, 808 Calculator

Given Input numbers are 894, 264, 20, 808

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 808

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

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

Greatest Common Divisior

We found the divisors of 894, 264, 20, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 264, 20, 808 is 2.

Therefore, GCD of numbers 894, 264, 20, 808 is 2

Given Input Data is 894, 264, 20, 808

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 20 is 2 x 2 x 5

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

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(894, 264) = 39336

GCD(894, 264) = ( 894 x 264 ) / 39336

GCD(894, 264) = 236016 / 39336

GCD(894, 264) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 20

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

LCM(6, 20) = 60

GCD(6, 20) = ( 6 x 20 ) / 60

GCD(6, 20) = 120 / 60

GCD(6, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

GCD of 894, 264, 20, 808 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 737, 37, 209
• GCD of 437, 751, 64, 399
• GCD of 864, 731, 12, 106
• GCD of 425, 149, 80, 897
• GCD of 501, 639, 38, 695

1. What is the GCD of 894, 264, 20, 808?

GCD of 894, 264, 20, 808 is 2

2. Where do I get the detailed procedure to find GCD of 894, 264, 20, 808?

You can find a detailed procedure to find GCD of 894, 264, 20, 808 on our page.

3. How to find GCD of 894, 264, 20, 808 on a calculator?

You can find the GCD of 894, 264, 20, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.