GCD of 308, 284, 27, 800 Calculator

Given Input numbers are 308, 284, 27, 800

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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

Greatest Common Divisior

We found the divisors of 308, 284, 27, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 284, 27, 800 is 1.

Therefore, GCD of numbers 308, 284, 27, 800 is 1

Given Input Data is 308, 284, 27, 800

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 27 is 3 x 3 x 3

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

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(308, 284) = 21868

GCD(308, 284) = ( 308 x 284 ) / 21868

GCD(308, 284) = 87472 / 21868

GCD(308, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 27

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

LCM(4, 27) = 108

GCD(4, 27) = ( 4 x 27 ) / 108

GCD(4, 27) = 108 / 108

GCD(4, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 308, 284, 27, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 330, 80, 709
• GCD of 740, 220, 91, 569
• GCD of 349, 184, 92, 753
• GCD of 492, 549, 91, 209
• GCD of 307, 519, 49, 160

1. What is the GCD of 308, 284, 27, 800?

GCD of 308, 284, 27, 800 is 1

2. Where do I get the detailed procedure to find GCD of 308, 284, 27, 800?

You can find a detailed procedure to find GCD of 308, 284, 27, 800 on our page.

3. How to find GCD of 308, 284, 27, 800 on a calculator?

You can find the GCD of 308, 284, 27, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.