GCD of 447, 463, 448, 298 Calculator

Given Input numbers are 447, 463, 448, 298

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 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 447, 463, 448, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 463, 448, 298 is 1.

Therefore, GCD of numbers 447, 463, 448, 298 is 1

Given Input Data is 447, 463, 448, 298

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 463 is 463

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 298 is 2 x 149

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, 463) = 206961

GCD(447, 463) = ( 447 x 463 ) / 206961

GCD(447, 463) = 206961 / 206961

GCD(447, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 447, 463, 448, 298 is 1

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1. What is the GCD of 447, 463, 448, 298?

GCD of 447, 463, 448, 298 is 1

2. Where do I get the detailed procedure to find GCD of 447, 463, 448, 298?

You can find a detailed procedure to find GCD of 447, 463, 448, 298 on our page.

3. How to find GCD of 447, 463, 448, 298 on a calculator?

You can find the GCD of 447, 463, 448, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.