GCD of 18, 315, 930, 434 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 18, 315, 930, 434 i.e. 1 largest integer that divides all the numbers equally.

GCD of 18, 315, 930, 434 is 1

GCD(18, 315, 930, 434) = 1

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

GCD of

GCD of numbers 18, 315, 930, 434 is 1

GCD(18, 315, 930, 434) = 1

GCD of 18,315,930,434 Calculator

GCDof 18,315,930,434 is 1

Given Input numbers are 18, 315, 930, 434

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 18, 315, 930, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 315, 930, 434 is 1.

Therefore, GCD of numbers 18, 315, 930, 434 is 1

Finding GCD of 18, 315, 930, 434 using Prime Factorization

Given Input Data is 18, 315, 930, 434

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 434 is 2 x 7 x 31

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

Finding GCD of 18, 315, 930, 434 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(18, 315) = 630

GCD(18, 315) = ( 18 x 315 ) / 630

GCD(18, 315) = 5670 / 630

GCD(18, 315) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 930

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

LCM(9, 930) = 2790

GCD(9, 930) = ( 9 x 930 ) / 2790

GCD(9, 930) = 8370 / 2790

GCD(9, 930) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 434

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

LCM(3, 434) = 1302

GCD(3, 434) = ( 3 x 434 ) / 1302

GCD(3, 434) = 1302 / 1302

GCD(3, 434) = 1

GCD of 18, 315, 930, 434 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 18, 315, 930, 434

1. What is the GCD of 18, 315, 930, 434?

GCD of 18, 315, 930, 434 is 1


2. Where do I get the detailed procedure to find GCD of 18, 315, 930, 434?

You can find a detailed procedure to find GCD of 18, 315, 930, 434 on our page.


3. How to find GCD of 18, 315, 930, 434 on a calculator?

You can find the GCD of 18, 315, 930, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.