GCD of 300, 800, 270 Calculator

Given Input numbers are 300, 800, 270

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 300, 800, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 800, 270 is 10.

Therefore, GCD of numbers 300, 800, 270 is 10

Given Input Data is 300, 800, 270

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(300, 800) = 2400

GCD(300, 800) = ( 300 x 800 ) / 2400

GCD(300, 800) = 240000 / 2400

GCD(300, 800) = 100

Step2:

Here we consider the GCD from the above i.e. 100 as first number and the next as 270

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

LCM(100, 270) = 2700

GCD(100, 270) = ( 100 x 270 ) / 2700

GCD(100, 270) = 27000 / 2700

GCD(100, 270) = 10

GCD of 300, 800, 270 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 318, 257
• GCD of 427, 403, 686
• GCD of 183, 397, 579
• GCD of 896, 564, 178
• GCD of 333, 488, 892

1. What is the GCD of 300, 800, 270?

GCD of 300, 800, 270 is 10

2. Where do I get the detailed procedure to find GCD of 300, 800, 270?

You can find a detailed procedure to find GCD of 300, 800, 270 on our page.

3. How to find GCD of 300, 800, 270 on a calculator?

You can find the GCD of 300, 800, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.