GCD of 678, 238, 81, 247 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 678, 238, 81, 247 i.e. 1 largest integer that divides all the numbers equally.

GCD of 678, 238, 81, 247 is 1

GCD(678, 238, 81, 247) = 1

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

GCD of

GCD of numbers 678, 238, 81, 247 is 1

GCD(678, 238, 81, 247) = 1

GCD of 678,238,81,247 Calculator

GCDof 678,238,81,247 is 1

Given Input numbers are 678, 238, 81, 247

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 678, 238, 81, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 238, 81, 247 is 1.

Therefore, GCD of numbers 678, 238, 81, 247 is 1

Finding GCD of 678, 238, 81, 247 using Prime Factorization

Given Input Data is 678, 238, 81, 247

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 247 is 13 x 19

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

Finding GCD of 678, 238, 81, 247 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(678, 238) = 80682

GCD(678, 238) = ( 678 x 238 ) / 80682

GCD(678, 238) = 161364 / 80682

GCD(678, 238) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 247

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

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

GCD(1, 247) = 247 / 247

GCD(1, 247) = 1

GCD of 678, 238, 81, 247 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 678, 238, 81, 247

1. What is the GCD of 678, 238, 81, 247?

GCD of 678, 238, 81, 247 is 1


2. Where do I get the detailed procedure to find GCD of 678, 238, 81, 247?

You can find a detailed procedure to find GCD of 678, 238, 81, 247 on our page.


3. How to find GCD of 678, 238, 81, 247 on a calculator?

You can find the GCD of 678, 238, 81, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.