GCD of 900, 447, 784 Calculator

Given Input numbers are 900, 447, 784

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 447

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

1, 3, 149, 447

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 900, 447, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 447, 784 is 1.

Therefore, GCD of numbers 900, 447, 784 is 1

Given Input Data is 900, 447, 784

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 447 is 3 x 149

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

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, 447) = 134100

GCD(900, 447) = ( 900 x 447 ) / 134100

GCD(900, 447) = 402300 / 134100

GCD(900, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 784

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

LCM(3, 784) = 2352

GCD(3, 784) = ( 3 x 784 ) / 2352

GCD(3, 784) = 2352 / 2352

GCD(3, 784) = 1

GCD of 900, 447, 784 is 1

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1. What is the GCD of 900, 447, 784?

GCD of 900, 447, 784 is 1

2. Where do I get the detailed procedure to find GCD of 900, 447, 784?

You can find a detailed procedure to find GCD of 900, 447, 784 on our page.

3. How to find GCD of 900, 447, 784 on a calculator?

You can find the GCD of 900, 447, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.