GCD of 209, 478, 96, 227 Calculator

Given Input numbers are 209, 478, 96, 227

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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 209, 478, 96, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 478, 96, 227 is 1.

Therefore, GCD of numbers 209, 478, 96, 227 is 1

Given Input Data is 209, 478, 96, 227

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 478 is 2 x 239

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 227 is 227

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, 478) = 99902

GCD(209, 478) = ( 209 x 478 ) / 99902

GCD(209, 478) = 99902 / 99902

GCD(209, 478) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 209, 478, 96, 227 is 1

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1. What is the GCD of 209, 478, 96, 227?

GCD of 209, 478, 96, 227 is 1

2. Where do I get the detailed procedure to find GCD of 209, 478, 96, 227?

You can find a detailed procedure to find GCD of 209, 478, 96, 227 on our page.

3. How to find GCD of 209, 478, 96, 227 on a calculator?

You can find the GCD of 209, 478, 96, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.