GCD of 864, 447, 900 Calculator

Given Input numbers are 864, 447, 900

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

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

Greatest Common Divisior

We found the divisors of 864, 447, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 447, 900 is 3.

Therefore, GCD of numbers 864, 447, 900 is 3

Given Input Data is 864, 447, 900

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 447 is 3 x 149

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(864, 447) = 128736

GCD(864, 447) = ( 864 x 447 ) / 128736

GCD(864, 447) = 386208 / 128736

GCD(864, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 900

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

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

GCD(3, 900) = 2700 / 900

GCD(3, 900) = 3

GCD of 864, 447, 900 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 933, 925
• GCD of 387, 156, 627
• GCD of 242, 485, 306
• GCD of 883, 690, 161
• GCD of 148, 442, 683

1. What is the GCD of 864, 447, 900?

GCD of 864, 447, 900 is 3

2. Where do I get the detailed procedure to find GCD of 864, 447, 900?

You can find a detailed procedure to find GCD of 864, 447, 900 on our page.

3. How to find GCD of 864, 447, 900 on a calculator?

You can find the GCD of 864, 447, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.