GCD of 300, 480, 456, 881 Calculator

Given Input numbers are 300, 480, 456, 881

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 881

List of positive integer divisors of 881 that divides 881 without a remainder.

1, 881

Greatest Common Divisior

We found the divisors of 300, 480, 456, 881 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 480, 456, 881 is 1.

Therefore, GCD of numbers 300, 480, 456, 881 is 1

Given Input Data is 300, 480, 456, 881

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 881 is 881

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(300, 480) = 2400

GCD(300, 480) = ( 300 x 480 ) / 2400

GCD(300, 480) = 144000 / 2400

GCD(300, 480) = 60

Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 456

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

LCM(60, 456) = 2280

GCD(60, 456) = ( 60 x 456 ) / 2280

GCD(60, 456) = 27360 / 2280

GCD(60, 456) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 881

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

LCM(12, 881) = 10572

GCD(12, 881) = ( 12 x 881 ) / 10572

GCD(12, 881) = 10572 / 10572

GCD(12, 881) = 1

GCD of 300, 480, 456, 881 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 181, 626, 300
• GCD of 457, 620, 583, 380
• GCD of 576, 362, 730, 623
• GCD of 324, 391, 117, 712
• GCD of 719, 255, 652, 697

1. What is the GCD of 300, 480, 456, 881?

GCD of 300, 480, 456, 881 is 1

2. Where do I get the detailed procedure to find GCD of 300, 480, 456, 881?

You can find a detailed procedure to find GCD of 300, 480, 456, 881 on our page.

3. How to find GCD of 300, 480, 456, 881 on a calculator?

You can find the GCD of 300, 480, 456, 881 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.