GCD of 238, 430, 314 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 238, 430, 314 i.e. 2 largest integer that divides all the numbers equally.

GCD of 238, 430, 314 is 2

GCD(238, 430, 314) = 2

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

GCD of

GCD of numbers 238, 430, 314 is 2

GCD(238, 430, 314) = 2

GCD of 238,430,314 Calculator

GCDof 238,430,314 is 2

Given Input numbers are 238, 430, 314

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 238, 430, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 430, 314 is 2.

Therefore, GCD of numbers 238, 430, 314 is 2

Finding GCD of 238, 430, 314 using Prime Factorization

Given Input Data is 238, 430, 314

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 314 is 2 x 157

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 238, 430, 314 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(238, 430) = 51170

GCD(238, 430) = ( 238 x 430 ) / 51170

GCD(238, 430) = 102340 / 51170

GCD(238, 430) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

GCD of 238, 430, 314 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 238, 430, 314

1. What is the GCD of 238, 430, 314?

GCD of 238, 430, 314 is 2


2. Where do I get the detailed procedure to find GCD of 238, 430, 314?

You can find a detailed procedure to find GCD of 238, 430, 314 on our page.


3. How to find GCD of 238, 430, 314 on a calculator?

You can find the GCD of 238, 430, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.