GCD of 718, 868, 714 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 718, 868, 714 i.e. 2 largest integer that divides all the numbers equally.

GCD of 718, 868, 714 is 2

GCD(718, 868, 714) = 2

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

GCD of

GCD of numbers 718, 868, 714 is 2

GCD(718, 868, 714) = 2

GCD of 718,868,714 Calculator

GCDof 718,868,714 is 2

Given Input numbers are 718, 868, 714

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 718, 868, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 868, 714 is 2.

Therefore, GCD of numbers 718, 868, 714 is 2

Finding GCD of 718, 868, 714 using Prime Factorization

Given Input Data is 718, 868, 714

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 714 is 2 x 3 x 7 x 17

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 718, 868, 714 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(718, 868) = 311612

GCD(718, 868) = ( 718 x 868 ) / 311612

GCD(718, 868) = 623224 / 311612

GCD(718, 868) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 714

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

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

GCD(2, 714) = 1428 / 714

GCD(2, 714) = 2

GCD of 718, 868, 714 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 718, 868, 714

1. What is the GCD of 718, 868, 714?

GCD of 718, 868, 714 is 2


2. Where do I get the detailed procedure to find GCD of 718, 868, 714?

You can find a detailed procedure to find GCD of 718, 868, 714 on our page.


3. How to find GCD of 718, 868, 714 on a calculator?

You can find the GCD of 718, 868, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.