GCD of 198, 449, 382, 954 Calculator

Given Input numbers are 198, 449, 382, 954

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 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 198, 449, 382, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 449, 382, 954 is 1.

Therefore, GCD of numbers 198, 449, 382, 954 is 1

Given Input Data is 198, 449, 382, 954

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 449 is 449

Prime Factorization of 382 is 2 x 191

Prime Factorization of 954 is 2 x 3 x 3 x 53

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, 449) = 88902

GCD(198, 449) = ( 198 x 449 ) / 88902

GCD(198, 449) = 88902 / 88902

GCD(198, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 198, 449, 382, 954 is 1

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• GCD of 132, 591, 892, 290
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1. What is the GCD of 198, 449, 382, 954?

GCD of 198, 449, 382, 954 is 1

2. Where do I get the detailed procedure to find GCD of 198, 449, 382, 954?

You can find a detailed procedure to find GCD of 198, 449, 382, 954 on our page.

3. How to find GCD of 198, 449, 382, 954 on a calculator?

You can find the GCD of 198, 449, 382, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.