GCD of 914, 195, 794, 842 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 914, 195, 794, 842 i.e. 1 largest integer that divides all the numbers equally.

GCD of 914, 195, 794, 842 is 1

GCD(914, 195, 794, 842) = 1

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

GCD of

GCD of numbers 914, 195, 794, 842 is 1

GCD(914, 195, 794, 842) = 1

GCD of 914,195,794,842 Calculator

GCDof 914,195,794,842 is 1

Given Input numbers are 914, 195, 794, 842

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 914, 195, 794, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 195, 794, 842 is 1.

Therefore, GCD of numbers 914, 195, 794, 842 is 1

Finding GCD of 914, 195, 794, 842 using Prime Factorization

Given Input Data is 914, 195, 794, 842

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 794 is 2 x 397

Prime Factorization of 842 is 2 x 421

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

Finding GCD of 914, 195, 794, 842 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(914, 195) = 178230

GCD(914, 195) = ( 914 x 195 ) / 178230

GCD(914, 195) = 178230 / 178230

GCD(914, 195) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 914, 195, 794, 842 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 914, 195, 794, 842

1. What is the GCD of 914, 195, 794, 842?

GCD of 914, 195, 794, 842 is 1


2. Where do I get the detailed procedure to find GCD of 914, 195, 794, 842?

You can find a detailed procedure to find GCD of 914, 195, 794, 842 on our page.


3. How to find GCD of 914, 195, 794, 842 on a calculator?

You can find the GCD of 914, 195, 794, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.