GCD of 270, 224, 16, 817 Calculator

Given Input numbers are 270, 224, 16, 817

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

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

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

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 270, 224, 16, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 224, 16, 817 is 1.

Therefore, GCD of numbers 270, 224, 16, 817 is 1

Given Input Data is 270, 224, 16, 817

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

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

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

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

Prime Factorization of 817 is 19 x 43

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(270, 224) = 30240

GCD(270, 224) = ( 270 x 224 ) / 30240

GCD(270, 224) = 60480 / 30240

GCD(270, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 817

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

LCM(2, 817) = 1634

GCD(2, 817) = ( 2 x 817 ) / 1634

GCD(2, 817) = 1634 / 1634

GCD(2, 817) = 1

GCD of 270, 224, 16, 817 is 1

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• GCD of 487, 842, 15, 733
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• GCD of 127, 824, 77, 256

1. What is the GCD of 270, 224, 16, 817?

GCD of 270, 224, 16, 817 is 1

2. Where do I get the detailed procedure to find GCD of 270, 224, 16, 817?

You can find a detailed procedure to find GCD of 270, 224, 16, 817 on our page.

3. How to find GCD of 270, 224, 16, 817 on a calculator?

You can find the GCD of 270, 224, 16, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.