GCD of 447, 299, 214 Calculator

Given Input numbers are 447, 299, 214

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

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 447, 299, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 299, 214 is 1.

Therefore, GCD of numbers 447, 299, 214 is 1

Given Input Data is 447, 299, 214

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 299 is 13 x 23

Prime Factorization of 214 is 2 x 107

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(447, 299) = 133653

GCD(447, 299) = ( 447 x 299 ) / 133653

GCD(447, 299) = 133653 / 133653

GCD(447, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 447, 299, 214 is 1

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1. What is the GCD of 447, 299, 214?

GCD of 447, 299, 214 is 1

2. Where do I get the detailed procedure to find GCD of 447, 299, 214?

You can find a detailed procedure to find GCD of 447, 299, 214 on our page.

3. How to find GCD of 447, 299, 214 on a calculator?

You can find the GCD of 447, 299, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.