GCD of 384, 254, 198, 445 Calculator

Given Input numbers are 384, 254, 198, 445

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

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 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 384, 254, 198, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 254, 198, 445 is 1.

Therefore, GCD of numbers 384, 254, 198, 445 is 1

Given Input Data is 384, 254, 198, 445

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 254 is 2 x 127

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

Prime Factorization of 445 is 5 x 89

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(384, 254) = 48768

GCD(384, 254) = ( 384 x 254 ) / 48768

GCD(384, 254) = 97536 / 48768

GCD(384, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 445

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

LCM(2, 445) = 890

GCD(2, 445) = ( 2 x 445 ) / 890

GCD(2, 445) = 890 / 890

GCD(2, 445) = 1

GCD of 384, 254, 198, 445 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 945, 721, 979
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1. What is the GCD of 384, 254, 198, 445?

GCD of 384, 254, 198, 445 is 1

2. Where do I get the detailed procedure to find GCD of 384, 254, 198, 445?

You can find a detailed procedure to find GCD of 384, 254, 198, 445 on our page.

3. How to find GCD of 384, 254, 198, 445 on a calculator?

You can find the GCD of 384, 254, 198, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.