GCD of 824, 399, 448 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 824, 399, 448 i.e. 1 largest integer that divides all the numbers equally.

GCD of 824, 399, 448 is 1

GCD(824, 399, 448) = 1

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

GCD of

GCD of numbers 824, 399, 448 is 1

GCD(824, 399, 448) = 1

GCD of 824,399,448 Calculator

GCDof 824,399,448 is 1

Given Input numbers are 824, 399, 448

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 824, 399, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 399, 448 is 1.

Therefore, GCD of numbers 824, 399, 448 is 1

Finding GCD of 824, 399, 448 using Prime Factorization

Given Input Data is 824, 399, 448

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 824, 399, 448 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(824, 399) = 328776

GCD(824, 399) = ( 824 x 399 ) / 328776

GCD(824, 399) = 328776 / 328776

GCD(824, 399) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 824, 399, 448 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 824, 399, 448

1. What is the GCD of 824, 399, 448?

GCD of 824, 399, 448 is 1


2. Where do I get the detailed procedure to find GCD of 824, 399, 448?

You can find a detailed procedure to find GCD of 824, 399, 448 on our page.


3. How to find GCD of 824, 399, 448 on a calculator?

You can find the GCD of 824, 399, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.