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GCD of 300, 638, 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 300, 638, 328 quickly. Get the easiest ways to solve the greatest common divisor of 300, 638, 328 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 300, 638, 328 with Factoring?

Given Input numbers are 300, 638, 328

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

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

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 (300, 638, 328) = 2.

Find GCD of 300, 638, 328 using Prime Factorization

Given numbers are 300, 638, 328

The list of prime factors of all numbers are

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

Prime factors of 638 are 2 x 11 x 29

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

The highest common occurrence is 21

Therefore, GCD of 300, 638, 328 is 2.

Steps to Calculate GCD of 300, 638, 328 using LCM Formula

Given numbers are 300, 638, 328

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

Apply this formula for all numbers.

Step1:

LCM(300, 638) = 95700

GCD(300, 638) = ( 300 x 638 ) / 95700

= 300 / 638

= 300


Step2:

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

= 2 / 328

= 2


So, Greatest Common Divisor of 300, 638, 328 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 300, 638, 328

Given numbers are 300, 638, 328
The greatest common divisor of numbers 300, 638, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 638, 328 is 2.

FAQs on GCD of 300, 638, 328 Calculator

1. What is the GCD of 300, 638, 328?

GCD of given numbers 300, 638, 328 is 2


2. How to calculate the greatest common divisor of 300, 638, 328?

We can find the highest common divisor of 300, 638, 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 300, 638, 328 i.e 2.


3. How can I use the GCD of 300, 638, 328Calculator?

Out the numbers 300, 638, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.