GCD of 550, 404, 496 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 550, 404, 496 i.e. 2 largest integer that divides all the numbers equally.

GCD of 550, 404, 496 is 2

GCD(550, 404, 496) = 2

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

GCD of

GCD of numbers 550, 404, 496 is 2

GCD(550, 404, 496) = 2

GCD of 550,404,496 Calculator

GCDof 550,404,496 is 2

Given Input numbers are 550, 404, 496

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 550, 404, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 404, 496 is 2.

Therefore, GCD of numbers 550, 404, 496 is 2

Finding GCD of 550, 404, 496 using Prime Factorization

Given Input Data is 550, 404, 496

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 550, 404, 496 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(550, 404) = 111100

GCD(550, 404) = ( 550 x 404 ) / 111100

GCD(550, 404) = 222200 / 111100

GCD(550, 404) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

GCD of 550, 404, 496 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 550, 404, 496

1. What is the GCD of 550, 404, 496?

GCD of 550, 404, 496 is 2


2. Where do I get the detailed procedure to find GCD of 550, 404, 496?

You can find a detailed procedure to find GCD of 550, 404, 496 on our page.


3. How to find GCD of 550, 404, 496 on a calculator?

You can find the GCD of 550, 404, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.