GCD of 410, 798, 13, 358 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 410, 798, 13, 358 i.e. 1 largest integer that divides all the numbers equally.

GCD of 410, 798, 13, 358 is 1

GCD(410, 798, 13, 358) = 1

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

GCD of

GCD of numbers 410, 798, 13, 358 is 1

GCD(410, 798, 13, 358) = 1

GCD of 410,798,13,358 Calculator

GCDof 410,798,13,358 is 1

Given Input numbers are 410, 798, 13, 358

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

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 410, 798, 13, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 798, 13, 358 is 1.

Therefore, GCD of numbers 410, 798, 13, 358 is 1

Finding GCD of 410, 798, 13, 358 using Prime Factorization

Given Input Data is 410, 798, 13, 358

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 13 is 13

Prime Factorization of 358 is 2 x 179

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

Finding GCD of 410, 798, 13, 358 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(410, 798) = 163590

GCD(410, 798) = ( 410 x 798 ) / 163590

GCD(410, 798) = 327180 / 163590

GCD(410, 798) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 410, 798, 13, 358 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 410, 798, 13, 358

1. What is the GCD of 410, 798, 13, 358?

GCD of 410, 798, 13, 358 is 1


2. Where do I get the detailed procedure to find GCD of 410, 798, 13, 358?

You can find a detailed procedure to find GCD of 410, 798, 13, 358 on our page.


3. How to find GCD of 410, 798, 13, 358 on a calculator?

You can find the GCD of 410, 798, 13, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.