GCD of 480, 999, 838 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 480, 999, 838 i.e. 1 largest integer that divides all the numbers equally.

GCD of 480, 999, 838 is 1

GCD(480, 999, 838) = 1

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

GCD of

GCD of numbers 480, 999, 838 is 1

GCD(480, 999, 838) = 1

GCD of 480,999,838 Calculator

GCDof 480,999,838 is 1

Given Input numbers are 480, 999, 838

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 480, 999, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 999, 838 is 1.

Therefore, GCD of numbers 480, 999, 838 is 1

Finding GCD of 480, 999, 838 using Prime Factorization

Given Input Data is 480, 999, 838

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 838 is 2 x 419

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

Finding GCD of 480, 999, 838 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(480, 999) = 159840

GCD(480, 999) = ( 480 x 999 ) / 159840

GCD(480, 999) = 479520 / 159840

GCD(480, 999) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 838

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

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

GCD(3, 838) = 2514 / 2514

GCD(3, 838) = 1

GCD of 480, 999, 838 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 480, 999, 838

1. What is the GCD of 480, 999, 838?

GCD of 480, 999, 838 is 1

2. Where do I get the detailed procedure to find GCD of 480, 999, 838?

You can find a detailed procedure to find GCD of 480, 999, 838 on our page.

3. How to find GCD of 480, 999, 838 on a calculator?

You can find the GCD of 480, 999, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.