GCD of 392, 455, 96, 367 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 392, 455, 96, 367 i.e. 1 largest integer that divides all the numbers equally.

GCD of 392, 455, 96, 367 is 1

GCD(392, 455, 96, 367) = 1

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

GCD of

GCD of numbers 392, 455, 96, 367 is 1

GCD(392, 455, 96, 367) = 1

GCD of 392,455,96,367 Calculator

GCDof 392,455,96,367 is 1

Given Input numbers are 392, 455, 96, 367

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 392, 455, 96, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 455, 96, 367 is 1.

Therefore, GCD of numbers 392, 455, 96, 367 is 1

Finding GCD of 392, 455, 96, 367 using Prime Factorization

Given Input Data is 392, 455, 96, 367

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 367 is 367

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

Finding GCD of 392, 455, 96, 367 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(392, 455) = 25480

GCD(392, 455) = ( 392 x 455 ) / 25480

GCD(392, 455) = 178360 / 25480

GCD(392, 455) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 96

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

LCM(7, 96) = 672

GCD(7, 96) = ( 7 x 96 ) / 672

GCD(7, 96) = 672 / 672

GCD(7, 96) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 392, 455, 96, 367 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 392, 455, 96, 367

1. What is the GCD of 392, 455, 96, 367?

GCD of 392, 455, 96, 367 is 1


2. Where do I get the detailed procedure to find GCD of 392, 455, 96, 367?

You can find a detailed procedure to find GCD of 392, 455, 96, 367 on our page.


3. How to find GCD of 392, 455, 96, 367 on a calculator?

You can find the GCD of 392, 455, 96, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.