GCD of 209, 576, 10 Calculator

Given Input numbers are 209, 576, 10

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 10

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

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 209, 576, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 576, 10 is 1.

Therefore, GCD of numbers 209, 576, 10 is 1

Given Input Data is 209, 576, 10

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 10 is 2 x 5

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(209, 576) = 120384

GCD(209, 576) = ( 209 x 576 ) / 120384

GCD(209, 576) = 120384 / 120384

GCD(209, 576) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 209, 576, 10 is 1

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1. What is the GCD of 209, 576, 10?

GCD of 209, 576, 10 is 1

2. Where do I get the detailed procedure to find GCD of 209, 576, 10?

You can find a detailed procedure to find GCD of 209, 576, 10 on our page.

3. How to find GCD of 209, 576, 10 on a calculator?

You can find the GCD of 209, 576, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.