GCD of 484, 778, 998 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 484, 778, 998 i.e. 2 largest integer that divides all the numbers equally.

GCD of 484, 778, 998 is 2

GCD(484, 778, 998) = 2

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

GCD of

GCD of numbers 484, 778, 998 is 2

GCD(484, 778, 998) = 2

GCD of 484,778,998 Calculator

GCDof 484,778,998 is 2

Given Input numbers are 484, 778, 998

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 484, 778, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 778, 998 is 2.

Therefore, GCD of numbers 484, 778, 998 is 2

Finding GCD of 484, 778, 998 using Prime Factorization

Given Input Data is 484, 778, 998

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 778 is 2 x 389

Prime Factorization of 998 is 2 x 499

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 484, 778, 998 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(484, 778) = 188276

GCD(484, 778) = ( 484 x 778 ) / 188276

GCD(484, 778) = 376552 / 188276

GCD(484, 778) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

GCD of 484, 778, 998 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 484, 778, 998

1. What is the GCD of 484, 778, 998?

GCD of 484, 778, 998 is 2


2. Where do I get the detailed procedure to find GCD of 484, 778, 998?

You can find a detailed procedure to find GCD of 484, 778, 998 on our page.


3. How to find GCD of 484, 778, 998 on a calculator?

You can find the GCD of 484, 778, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.