GCD of 990, 320, 379 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, 320, 379 i.e. 1 largest integer that divides all the numbers equally.

GCD of 990, 320, 379 is 1

GCD(990, 320, 379) = 1

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

GCD of

GCD of numbers 990, 320, 379 is 1

GCD(990, 320, 379) = 1

GCD of 990,320,379 Calculator

GCDof 990,320,379 is 1

Given Input numbers are 990, 320, 379

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 990, 320, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 320, 379 is 1.

Therefore, GCD of numbers 990, 320, 379 is 1

Finding GCD of 990, 320, 379 using Prime Factorization

Given Input Data is 990, 320, 379

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 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 379 is 379

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

Finding GCD of 990, 320, 379 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, 320) = 31680

GCD(990, 320) = ( 990 x 320 ) / 31680

GCD(990, 320) = 316800 / 31680

GCD(990, 320) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 379

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

LCM(10, 379) = 3790

GCD(10, 379) = ( 10 x 379 ) / 3790

GCD(10, 379) = 3790 / 3790

GCD(10, 379) = 1

GCD of 990, 320, 379 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 990, 320, 379

1. What is the GCD of 990, 320, 379?

GCD of 990, 320, 379 is 1

2. Where do I get the detailed procedure to find GCD of 990, 320, 379?

You can find a detailed procedure to find GCD of 990, 320, 379 on our page.

3. How to find GCD of 990, 320, 379 on a calculator?

You can find the GCD of 990, 320, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.