GCD of 359, 392, 442 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 359, 392, 442 i.e. 1 largest integer that divides all the numbers equally.

GCD of 359, 392, 442 is 1

GCD(359, 392, 442) = 1

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

GCD of

GCD of numbers 359, 392, 442 is 1

GCD(359, 392, 442) = 1

GCD of 359,392,442 Calculator

GCDof 359,392,442 is 1

Given Input numbers are 359, 392, 442

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 359, 392, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 392, 442 is 1.

Therefore, GCD of numbers 359, 392, 442 is 1

Finding GCD of 359, 392, 442 using Prime Factorization

Given Input Data is 359, 392, 442

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

Prime Factorization of 359 is 359

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

Prime Factorization of 442 is 2 x 13 x 17

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

Finding GCD of 359, 392, 442 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(359, 392) = 140728

GCD(359, 392) = ( 359 x 392 ) / 140728

GCD(359, 392) = 140728 / 140728

GCD(359, 392) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 359, 392, 442 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 359, 392, 442

1. What is the GCD of 359, 392, 442?

GCD of 359, 392, 442 is 1


2. Where do I get the detailed procedure to find GCD of 359, 392, 442?

You can find a detailed procedure to find GCD of 359, 392, 442 on our page.


3. How to find GCD of 359, 392, 442 on a calculator?

You can find the GCD of 359, 392, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.