Where do I get the detailed procedure to find GCD of 422, 144, 496?

You can find a detailed procedure to find GCD of 422, 144, 496 on our page.

How to find GCD of 422, 144, 496 on a calculator?

You can find the GCD of 422, 144, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 422, 144, 496 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 422, 144, 496 quickly. Get the easiest ways to solve the greatest common divisor of 422, 144, 496 i.e 2 in different methods as follows.

How to Find GCD of Numbers 422, 144, 496 with Factoring?

Given Input numbers are 422, 144, 496

In the factoring method, we have to find the divisors of all numbers

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (422, 144, 496) = 2.

Find GCD of 422, 144, 496 using Prime Factorization

Given numbers are 422, 144, 496

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 422, 144, 496 is 2.

Steps to Calculate GCD of 422, 144, 496 using LCM Formula

Given numbers are 422, 144, 496

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(422, 144) = 30384

GCD(422, 144) = ( 422 x 144 ) / 30384

= 422 / 144

= 422

Step2:

LCM(2, 496) = 496

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

= 2 / 496

= 2

So, Greatest Common Divisor of 422, 144, 496 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 422, 144, 496

Given numbers are 422, 144, 496
The greatest common divisor of numbers 422, 144, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 144, 496 is 2.

FAQs on GCD of 422, 144, 496 Calculator

1. What is the GCD of 422, 144, 496?

GCD of given numbers 422, 144, 496 is 2

2. How to calculate the greatest common divisor of 422, 144, 496?

We can find the highest common divisor of 422, 144, 496 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 422, 144, 496 i.e 2.

3. How can I use the GCD of 422, 144, 496Calculator?

Out the numbers 422, 144, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.