GCD of 224, 819, 947, 804 Calculator

Given Input numbers are 224, 819, 947, 804

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 224, 819, 947, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 819, 947, 804 is 1.

Therefore, GCD of numbers 224, 819, 947, 804 is 1

Given Input Data is 224, 819, 947, 804

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 947 is 947

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(224, 819) = 26208

GCD(224, 819) = ( 224 x 819 ) / 26208

GCD(224, 819) = 183456 / 26208

GCD(224, 819) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 947

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

LCM(7, 947) = 6629

GCD(7, 947) = ( 7 x 947 ) / 6629

GCD(7, 947) = 6629 / 6629

GCD(7, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 224, 819, 947, 804 is 1

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1. What is the GCD of 224, 819, 947, 804?

GCD of 224, 819, 947, 804 is 1

2. Where do I get the detailed procedure to find GCD of 224, 819, 947, 804?

You can find a detailed procedure to find GCD of 224, 819, 947, 804 on our page.

3. How to find GCD of 224, 819, 947, 804 on a calculator?

You can find the GCD of 224, 819, 947, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.