GCD of 718, 429, 874 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, 429, 874 i.e. 1 largest integer that divides all the numbers equally.

GCD of 718, 429, 874 is 1

GCD(718, 429, 874) = 1

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

GCD of

GCD of numbers 718, 429, 874 is 1

GCD(718, 429, 874) = 1

GCD of 718,429,874 Calculator

GCDof 718,429,874 is 1

Given Input numbers are 718, 429, 874

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 718, 429, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 429, 874 is 1.

Therefore, GCD of numbers 718, 429, 874 is 1

Finding GCD of 718, 429, 874 using Prime Factorization

Given Input Data is 718, 429, 874

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 874 is 2 x 19 x 23

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

Finding GCD of 718, 429, 874 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, 429) = 308022

GCD(718, 429) = ( 718 x 429 ) / 308022

GCD(718, 429) = 308022 / 308022

GCD(718, 429) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 718, 429, 874 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 718, 429, 874

1. What is the GCD of 718, 429, 874?

GCD of 718, 429, 874 is 1


2. Where do I get the detailed procedure to find GCD of 718, 429, 874?

You can find a detailed procedure to find GCD of 718, 429, 874 on our page.


3. How to find GCD of 718, 429, 874 on a calculator?

You can find the GCD of 718, 429, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.