GCD of 678, 878, 317 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, 878, 317 i.e. 1 largest integer that divides all the numbers equally.

GCD of 678, 878, 317 is 1

GCD(678, 878, 317) = 1

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

GCD of

GCD of numbers 678, 878, 317 is 1

GCD(678, 878, 317) = 1

GCD of 678,878,317 Calculator

GCDof 678,878,317 is 1

Given Input numbers are 678, 878, 317

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 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 678, 878, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 878, 317 is 1.

Therefore, GCD of numbers 678, 878, 317 is 1

Finding GCD of 678, 878, 317 using Prime Factorization

Given Input Data is 678, 878, 317

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 878 is 2 x 439

Prime Factorization of 317 is 317

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

Finding GCD of 678, 878, 317 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, 878) = 297642

GCD(678, 878) = ( 678 x 878 ) / 297642

GCD(678, 878) = 595284 / 297642

GCD(678, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 317

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

LCM(2, 317) = 634

GCD(2, 317) = ( 2 x 317 ) / 634

GCD(2, 317) = 634 / 634

GCD(2, 317) = 1

GCD of 678, 878, 317 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 678, 878, 317

1. What is the GCD of 678, 878, 317?

GCD of 678, 878, 317 is 1

2. Where do I get the detailed procedure to find GCD of 678, 878, 317?

You can find a detailed procedure to find GCD of 678, 878, 317 on our page.

3. How to find GCD of 678, 878, 317 on a calculator?

You can find the GCD of 678, 878, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.