GCD of 238, 814, 843, 352 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, 814, 843, 352 i.e. 1 largest integer that divides all the numbers equally.

GCD of 238, 814, 843, 352 is 1

GCD(238, 814, 843, 352) = 1

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

GCD of

GCD of numbers 238, 814, 843, 352 is 1

GCD(238, 814, 843, 352) = 1

GCD of 238,814,843,352 Calculator

GCDof 238,814,843,352 is 1

Given Input numbers are 238, 814, 843, 352

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 238, 814, 843, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 814, 843, 352 is 1.

Therefore, GCD of numbers 238, 814, 843, 352 is 1

Finding GCD of 238, 814, 843, 352 using Prime Factorization

Given Input Data is 238, 814, 843, 352

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 814 is 2 x 11 x 37

Prime Factorization of 843 is 3 x 281

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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

Finding GCD of 238, 814, 843, 352 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, 814) = 96866

GCD(238, 814) = ( 238 x 814 ) / 96866

GCD(238, 814) = 193732 / 96866

GCD(238, 814) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 843

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

LCM(2, 843) = 1686

GCD(2, 843) = ( 2 x 843 ) / 1686

GCD(2, 843) = 1686 / 1686

GCD(2, 843) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 238, 814, 843, 352 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 238, 814, 843, 352

1. What is the GCD of 238, 814, 843, 352?

GCD of 238, 814, 843, 352 is 1


2. Where do I get the detailed procedure to find GCD of 238, 814, 843, 352?

You can find a detailed procedure to find GCD of 238, 814, 843, 352 on our page.


3. How to find GCD of 238, 814, 843, 352 on a calculator?

You can find the GCD of 238, 814, 843, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.