Where do I get the detailed procedure to find GCD of 728, 300, 328?

You can find a detailed procedure to find GCD of 728, 300, 328 on our page.

How to find GCD of 728, 300, 328 on a calculator?

You can find the GCD of 728, 300, 328 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 728, 300, 328 Calculator

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

Online GCD Calculator is useful to find the GCD of 728, 300, 328 quickly. Get the easiest ways to solve the greatest common divisor of 728, 300, 328 i.e 4 in different methods as follows.

How to Find GCD of Numbers 728, 300, 328 with Factoring?

Given Input numbers are 728, 300, 328

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

GCD of numbers is the greatest common divisor

So, the GCD (728, 300, 328) = 4.

Find GCD of 728, 300, 328 using Prime Factorization

Given numbers are 728, 300, 328

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 328 are 2 x 2 x 2 x 41

The highest common occurrence is 2²

Therefore, GCD of 728, 300, 328 is 4.

Steps to Calculate GCD of 728, 300, 328 using LCM Formula

Given numbers are 728, 300, 328

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

Apply this formula for all numbers.

Step1:

LCM(728, 300) = 54600

GCD(728, 300) = ( 728 x 300 ) / 54600

= 728 / 300

= 728

Step2:

LCM(4, 328) = 328

GCD(4, 328) = ( 4 x 328 ) / 328

= 4 / 328

= 4

So, Greatest Common Divisor of 728, 300, 328 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 728, 300, 328

Given numbers are 728, 300, 328
The greatest common divisor of numbers 728, 300, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 300, 328 is 4.

FAQs on GCD of 728, 300, 328 Calculator

1. What is the GCD of 728, 300, 328?

GCD of given numbers 728, 300, 328 is 4

2. How to calculate the greatest common divisor of 728, 300, 328?

We can find the highest common divisor of 728, 300, 328 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 728, 300, 328 i.e 4.

3. How can I use the GCD of 728, 300, 328Calculator?

Out the numbers 728, 300, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.