GCD of 198, 819, 442, 960 Calculator

Given Input numbers are 198, 819, 442, 960

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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 198, 819, 442, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 819, 442, 960 is 1.

Therefore, GCD of numbers 198, 819, 442, 960 is 1

Given Input Data is 198, 819, 442, 960

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 819 is 3 x 3 x 7 x 13

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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, 819) = 18018

GCD(198, 819) = ( 198 x 819 ) / 18018

GCD(198, 819) = 162162 / 18018

GCD(198, 819) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 442

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

LCM(9, 442) = 3978

GCD(9, 442) = ( 9 x 442 ) / 3978

GCD(9, 442) = 3978 / 3978

GCD(9, 442) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 198, 819, 442, 960 is 1

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1. What is the GCD of 198, 819, 442, 960?

GCD of 198, 819, 442, 960 is 1

2. Where do I get the detailed procedure to find GCD of 198, 819, 442, 960?

You can find a detailed procedure to find GCD of 198, 819, 442, 960 on our page.

3. How to find GCD of 198, 819, 442, 960 on a calculator?

You can find the GCD of 198, 819, 442, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.