GCD of 990, 352, 203, 381 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 990, 352, 203, 381 i.e. 1 largest integer that divides all the numbers equally.

GCD of 990, 352, 203, 381 is 1

GCD(990, 352, 203, 381) = 1

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

GCD of

GCD of numbers 990, 352, 203, 381 is 1

GCD(990, 352, 203, 381) = 1

GCD of 990,352,203,381 Calculator

GCDof 990,352,203,381 is 1

Given Input numbers are 990, 352, 203, 381

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 990, 352, 203, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 352, 203, 381 is 1.

Therefore, GCD of numbers 990, 352, 203, 381 is 1

Finding GCD of 990, 352, 203, 381 using Prime Factorization

Given Input Data is 990, 352, 203, 381

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 203 is 7 x 29

Prime Factorization of 381 is 3 x 127

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

Finding GCD of 990, 352, 203, 381 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(990, 352) = 15840

GCD(990, 352) = ( 990 x 352 ) / 15840

GCD(990, 352) = 348480 / 15840

GCD(990, 352) = 22


Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 203

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

LCM(22, 203) = 4466

GCD(22, 203) = ( 22 x 203 ) / 4466

GCD(22, 203) = 4466 / 4466

GCD(22, 203) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 990, 352, 203, 381 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 990, 352, 203, 381

1. What is the GCD of 990, 352, 203, 381?

GCD of 990, 352, 203, 381 is 1


2. Where do I get the detailed procedure to find GCD of 990, 352, 203, 381?

You can find a detailed procedure to find GCD of 990, 352, 203, 381 on our page.


3. How to find GCD of 990, 352, 203, 381 on a calculator?

You can find the GCD of 990, 352, 203, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.