Where do I get the detailed procedure to find GCD of 384, 144, 484?

You can find a detailed procedure to find GCD of 384, 144, 484 on our page.

How to find GCD of 384, 144, 484 on a calculator?

You can find the GCD of 384, 144, 484 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 384, 144, 484 Calculator

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

Online GCD Calculator is useful to find the GCD of 384, 144, 484 quickly. Get the easiest ways to solve the greatest common divisor of 384, 144, 484 i.e 4 in different methods as follows.

How to Find GCD of Numbers 384, 144, 484 with Factoring?

Given Input numbers are 384, 144, 484

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 484 :

The positive integer divisors of 484 that completely divides 484 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (384, 144, 484) = 4.

Find GCD of 384, 144, 484 using Prime Factorization

Given numbers are 384, 144, 484

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 484 are 2 x 2 x 11 x 11

The highest common occurrence is 2²

Therefore, GCD of 384, 144, 484 is 4.

Steps to Calculate GCD of 384, 144, 484 using LCM Formula

Given numbers are 384, 144, 484

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

Apply this formula for all numbers.

Step1:

LCM(384, 144) = 1152

GCD(384, 144) = ( 384 x 144 ) / 1152

= 384 / 144

= 384

Step2:

LCM(48, 484) = 5808

GCD(48, 484) = ( 48 x 484 ) / 5808

= 48 / 484

= 48

So, Greatest Common Divisor of 384, 144, 484 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 384, 144, 484

Given numbers are 384, 144, 484
The greatest common divisor of numbers 384, 144, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 144, 484 is 4.

FAQs on GCD of 384, 144, 484 Calculator

1. What is the GCD of 384, 144, 484?

GCD of given numbers 384, 144, 484 is 4

2. How to calculate the greatest common divisor of 384, 144, 484?

We can find the highest common divisor of 384, 144, 484 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 384, 144, 484 i.e 4.

3. How can I use the GCD of 384, 144, 484Calculator?

Out the numbers 384, 144, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.