GCD of 130, 392, 194, 727 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 130, 392, 194, 727 i.e. 1 largest integer that divides all the numbers equally.

GCD of 130, 392, 194, 727 is 1

GCD(130, 392, 194, 727) = 1

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

GCD of

GCD of numbers 130, 392, 194, 727 is 1

GCD(130, 392, 194, 727) = 1

GCD of 130,392,194,727 Calculator

GCDof 130,392,194,727 is 1

Given Input numbers are 130, 392, 194, 727

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

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 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 130, 392, 194, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 392, 194, 727 is 1.

Therefore, GCD of numbers 130, 392, 194, 727 is 1

Finding GCD of 130, 392, 194, 727 using Prime Factorization

Given Input Data is 130, 392, 194, 727

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

Prime Factorization of 130 is 2 x 5 x 13

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 727 is 727

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

Finding GCD of 130, 392, 194, 727 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(130, 392) = 25480

GCD(130, 392) = ( 130 x 392 ) / 25480

GCD(130, 392) = 50960 / 25480

GCD(130, 392) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 727

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

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

GCD(2, 727) = 1454 / 1454

GCD(2, 727) = 1

GCD of 130, 392, 194, 727 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 130, 392, 194, 727

1. What is the GCD of 130, 392, 194, 727?

GCD of 130, 392, 194, 727 is 1


2. Where do I get the detailed procedure to find GCD of 130, 392, 194, 727?

You can find a detailed procedure to find GCD of 130, 392, 194, 727 on our page.


3. How to find GCD of 130, 392, 194, 727 on a calculator?

You can find the GCD of 130, 392, 194, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.