GCD of 900, 114, 808 Calculator

Given Input numbers are 900, 114, 808

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

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 900, 114, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 114, 808 is 2.

Therefore, GCD of numbers 900, 114, 808 is 2

Given Input Data is 900, 114, 808

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 114 is 2 x 3 x 19

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(900, 114) = 17100

GCD(900, 114) = ( 900 x 114 ) / 17100

GCD(900, 114) = 102600 / 17100

GCD(900, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 808

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

LCM(6, 808) = 2424

GCD(6, 808) = ( 6 x 808 ) / 2424

GCD(6, 808) = 4848 / 2424

GCD(6, 808) = 2

GCD of 900, 114, 808 is 2

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1. What is the GCD of 900, 114, 808?

GCD of 900, 114, 808 is 2

2. Where do I get the detailed procedure to find GCD of 900, 114, 808?

You can find a detailed procedure to find GCD of 900, 114, 808 on our page.

3. How to find GCD of 900, 114, 808 on a calculator?

You can find the GCD of 900, 114, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.