GCD of 800, 189, 184, 224 Calculator

Given Input numbers are 800, 189, 184, 224

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

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

Greatest Common Divisior

We found the divisors of 800, 189, 184, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 189, 184, 224 is 1.

Therefore, GCD of numbers 800, 189, 184, 224 is 1

Given Input Data is 800, 189, 184, 224

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(800, 189) = 151200

GCD(800, 189) = ( 800 x 189 ) / 151200

GCD(800, 189) = 151200 / 151200

GCD(800, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 800, 189, 184, 224 is 1

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1. What is the GCD of 800, 189, 184, 224?

GCD of 800, 189, 184, 224 is 1

2. Where do I get the detailed procedure to find GCD of 800, 189, 184, 224?

You can find a detailed procedure to find GCD of 800, 189, 184, 224 on our page.

3. How to find GCD of 800, 189, 184, 224 on a calculator?

You can find the GCD of 800, 189, 184, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.