GCD of 268, 604, 384 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 268, 604, 384 i.e. 4 largest integer that divides all the numbers equally.

GCD of 268, 604, 384 is 4

GCD(268, 604, 384) = 4

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 268, 604, 384 is 4

GCD(268, 604, 384) = 4

GCD of 268,604,384 Calculator

GCDof 268,604,384 is 4

Given Input numbers are 268, 604, 384

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

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

Greatest Common Divisior

We found the divisors of 268, 604, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 604, 384 is 4.

Therefore, GCD of numbers 268, 604, 384 is 4

Finding GCD of 268, 604, 384 using Prime Factorization

Given Input Data is 268, 604, 384

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 268, 604, 384 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(268, 604) = 40468

GCD(268, 604) = ( 268 x 604 ) / 40468

GCD(268, 604) = 161872 / 40468

GCD(268, 604) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 384

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

LCM(4, 384) = 384

GCD(4, 384) = ( 4 x 384 ) / 384

GCD(4, 384) = 1536 / 384

GCD(4, 384) = 4

GCD of 268, 604, 384 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 268, 604, 384

1. What is the GCD of 268, 604, 384?

GCD of 268, 604, 384 is 4


2. Where do I get the detailed procedure to find GCD of 268, 604, 384?

You can find a detailed procedure to find GCD of 268, 604, 384 on our page.


3. How to find GCD of 268, 604, 384 on a calculator?

You can find the GCD of 268, 604, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.