GCD of 800, 803, 12, 226 Calculator

Given Input numbers are 800, 803, 12, 226

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 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 800, 803, 12, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 803, 12, 226 is 1.

Therefore, GCD of numbers 800, 803, 12, 226 is 1

Given Input Data is 800, 803, 12, 226

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 803 is 11 x 73

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 226 is 2 x 113

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, 803) = 642400

GCD(800, 803) = ( 800 x 803 ) / 642400

GCD(800, 803) = 642400 / 642400

GCD(800, 803) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 800, 803, 12, 226 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 917, 87, 773
• GCD of 758, 888, 51, 333
• GCD of 168, 451, 46, 157
• GCD of 824, 482, 79, 909
• GCD of 666, 132, 46, 156

1. What is the GCD of 800, 803, 12, 226?

GCD of 800, 803, 12, 226 is 1

2. Where do I get the detailed procedure to find GCD of 800, 803, 12, 226?

You can find a detailed procedure to find GCD of 800, 803, 12, 226 on our page.

3. How to find GCD of 800, 803, 12, 226 on a calculator?

You can find the GCD of 800, 803, 12, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.