Where do I get the detailed procedure to find GCD of 238, 322, 116?

You can find a detailed procedure to find GCD of 238, 322, 116 on our page.

How to find GCD of 238, 322, 116 on a calculator?

You can find the GCD of 238, 322, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 238, 322, 116 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 238, 322, 116 quickly. Get the easiest ways to solve the greatest common divisor of 238, 322, 116 i.e 2 in different methods as follows.

How to Find GCD of Numbers 238, 322, 116 with Factoring?

Given Input numbers are 238, 322, 116

In the factoring method, we have to find the divisors of all numbers

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (238, 322, 116) = 2.

Find GCD of 238, 322, 116 using Prime Factorization

Given numbers are 238, 322, 116

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 322 are 2 x 7 x 23

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 238, 322, 116 is 2.

Steps to Calculate GCD of 238, 322, 116 using LCM Formula

Given numbers are 238, 322, 116

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(238, 322) = 5474

GCD(238, 322) = ( 238 x 322 ) / 5474

= 238 / 322

= 238

Step2:

LCM(14, 116) = 812

GCD(14, 116) = ( 14 x 116 ) / 812

= 14 / 116

= 14

So, Greatest Common Divisor of 238, 322, 116 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 238, 322, 116

Given numbers are 238, 322, 116
The greatest common divisor of numbers 238, 322, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 322, 116 is 2.

FAQs on GCD of 238, 322, 116 Calculator

1. What is the GCD of 238, 322, 116?

GCD of given numbers 238, 322, 116 is 2

2. How to calculate the greatest common divisor of 238, 322, 116?

We can find the highest common divisor of 238, 322, 116 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 238, 322, 116 i.e 2.

3. How can I use the GCD of 238, 322, 116Calculator?

Out the numbers 238, 322, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.