GCD of 10, 486, 185, 224 Calculator

Given Input numbers are 10, 486, 185, 224

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

Divisors of 10

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

1, 2, 5, 10

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

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 10, 486, 185, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 486, 185, 224 is 1.

Therefore, GCD of numbers 10, 486, 185, 224 is 1

Given Input Data is 10, 486, 185, 224

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 185 is 5 x 37

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

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(10, 486) = 2430

GCD(10, 486) = ( 10 x 486 ) / 2430

GCD(10, 486) = 4860 / 2430

GCD(10, 486) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 10, 486, 185, 224 is 1

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1. What is the GCD of 10, 486, 185, 224?

GCD of 10, 486, 185, 224 is 1

2. Where do I get the detailed procedure to find GCD of 10, 486, 185, 224?

You can find a detailed procedure to find GCD of 10, 486, 185, 224 on our page.

3. How to find GCD of 10, 486, 185, 224 on a calculator?

You can find the GCD of 10, 486, 185, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.