GCD of 442, 198, 19, 356 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 442, 198, 19, 356 i.e. 1 largest integer that divides all the numbers equally.

GCD of 442, 198, 19, 356 is 1

GCD(442, 198, 19, 356) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 442, 198, 19, 356 is 1

GCD(442, 198, 19, 356) = 1

GCD of 442,198,19,356 Calculator

GCDof 442,198,19,356 is 1

Given Input numbers are 442, 198, 19, 356

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

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 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 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 442, 198, 19, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 198, 19, 356 is 1.

Therefore, GCD of numbers 442, 198, 19, 356 is 1

Finding GCD of 442, 198, 19, 356 using Prime Factorization

Given Input Data is 442, 198, 19, 356

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

Prime Factorization of 442 is 2 x 13 x 17

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

Prime Factorization of 19 is 19

Prime Factorization of 356 is 2 x 2 x 89

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 442, 198, 19, 356 using LCM Formula

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(442, 198) = 43758

GCD(442, 198) = ( 442 x 198 ) / 43758

GCD(442, 198) = 87516 / 43758

GCD(442, 198) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 442, 198, 19, 356 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 442, 198, 19, 356

1. What is the GCD of 442, 198, 19, 356?

GCD of 442, 198, 19, 356 is 1


2. Where do I get the detailed procedure to find GCD of 442, 198, 19, 356?

You can find a detailed procedure to find GCD of 442, 198, 19, 356 on our page.


3. How to find GCD of 442, 198, 19, 356 on a calculator?

You can find the GCD of 442, 198, 19, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.