GCD of 800, 335, 16, 227 Calculator

Given Input numbers are 800, 335, 16, 227

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 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 800, 335, 16, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 335, 16, 227 is 1.

Therefore, GCD of numbers 800, 335, 16, 227 is 1

Given Input Data is 800, 335, 16, 227

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 335 is 5 x 67

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 227 is 227

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, 335) = 53600

GCD(800, 335) = ( 800 x 335 ) / 53600

GCD(800, 335) = 268000 / 53600

GCD(800, 335) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 16

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

LCM(5, 16) = 80

GCD(5, 16) = ( 5 x 16 ) / 80

GCD(5, 16) = 80 / 80

GCD(5, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 800, 335, 16, 227 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 498, 63, 373
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• GCD of 936, 149, 46, 848

1. What is the GCD of 800, 335, 16, 227?

GCD of 800, 335, 16, 227 is 1

2. Where do I get the detailed procedure to find GCD of 800, 335, 16, 227?

You can find a detailed procedure to find GCD of 800, 335, 16, 227 on our page.

3. How to find GCD of 800, 335, 16, 227 on a calculator?

You can find the GCD of 800, 335, 16, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.