Where do I get the detailed procedure to find GCD of 496, 384, 744?

You can find a detailed procedure to find GCD of 496, 384, 744 on our page.

How to find GCD of 496, 384, 744 on a calculator?

You can find the GCD of 496, 384, 744 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 496, 384, 744 Calculator

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

Online GCD Calculator is useful to find the GCD of 496, 384, 744 quickly. Get the easiest ways to solve the greatest common divisor of 496, 384, 744 i.e 8 in different methods as follows.

How to Find GCD of Numbers 496, 384, 744 with Factoring?

Given Input numbers are 496, 384, 744

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

Divisors of 496 :

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

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

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (496, 384, 744) = 8.

Find GCD of 496, 384, 744 using Prime Factorization

Given numbers are 496, 384, 744

The list of prime factors of all numbers are

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

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2³

Therefore, GCD of 496, 384, 744 is 8.

Steps to Calculate GCD of 496, 384, 744 using LCM Formula

Given numbers are 496, 384, 744

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

Apply this formula for all numbers.

Step1:

LCM(496, 384) = 11904

GCD(496, 384) = ( 496 x 384 ) / 11904

= 496 / 384

= 496

Step2:

LCM(16, 744) = 1488

GCD(16, 744) = ( 16 x 744 ) / 1488

= 16 / 744

= 16

So, Greatest Common Divisor of 496, 384, 744 is 8

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 496, 384, 744

Given numbers are 496, 384, 744
The greatest common divisor of numbers 496, 384, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 384, 744 is 8.

FAQs on GCD of 496, 384, 744 Calculator

1. What is the GCD of 496, 384, 744?

GCD of given numbers 496, 384, 744 is 8

2. How to calculate the greatest common divisor of 496, 384, 744?

We can find the highest common divisor of 496, 384, 744 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 496, 384, 744 i.e 8.

3. How can I use the GCD of 496, 384, 744Calculator?

Out the numbers 496, 384, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.