GCD of 198, 337, 24, 466 Calculator

Given Input numbers are 198, 337, 24, 466

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 198, 337, 24, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 337, 24, 466 is 1.

Therefore, GCD of numbers 198, 337, 24, 466 is 1

Given Input Data is 198, 337, 24, 466

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 337 is 337

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 466 is 2 x 233

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(198, 337) = 66726

GCD(198, 337) = ( 198 x 337 ) / 66726

GCD(198, 337) = 66726 / 66726

GCD(198, 337) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 198, 337, 24, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 201, 41, 686
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• GCD of 699, 709, 73, 557

1. What is the GCD of 198, 337, 24, 466?

GCD of 198, 337, 24, 466 is 1

2. Where do I get the detailed procedure to find GCD of 198, 337, 24, 466?

You can find a detailed procedure to find GCD of 198, 337, 24, 466 on our page.

3. How to find GCD of 198, 337, 24, 466 on a calculator?

You can find the GCD of 198, 337, 24, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.