GCD of 300, 418, 10, 224 Calculator

Given Input numbers are 300, 418, 10, 224

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 300, 418, 10, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 418, 10, 224 is 2.

Therefore, GCD of numbers 300, 418, 10, 224 is 2

Given Input Data is 300, 418, 10, 224

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 418 is 2 x 11 x 19

Prime Factorization of 10 is 2 x 5

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 418) = 62700

GCD(300, 418) = ( 300 x 418 ) / 62700

GCD(300, 418) = 125400 / 62700

GCD(300, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

GCD of 300, 418, 10, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 495, 26, 635
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• GCD of 987, 218, 53, 173

1. What is the GCD of 300, 418, 10, 224?

GCD of 300, 418, 10, 224 is 2

2. Where do I get the detailed procedure to find GCD of 300, 418, 10, 224?

You can find a detailed procedure to find GCD of 300, 418, 10, 224 on our page.

3. How to find GCD of 300, 418, 10, 224 on a calculator?

You can find the GCD of 300, 418, 10, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.