GCD of 716, 431, 14 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 716, 431, 14 i.e. 1 largest integer that divides all the numbers equally.

GCD of 716, 431, 14 is 1

GCD(716, 431, 14) = 1

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

GCD of

GCD of numbers 716, 431, 14 is 1

GCD(716, 431, 14) = 1

GCD of 716,431,14 Calculator

GCDof 716,431,14 is 1

Given Input numbers are 716, 431, 14

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 716, 431, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 431, 14 is 1.

Therefore, GCD of numbers 716, 431, 14 is 1

Finding GCD of 716, 431, 14 using Prime Factorization

Given Input Data is 716, 431, 14

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 431 is 431

Prime Factorization of 14 is 2 x 7

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

Finding GCD of 716, 431, 14 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(716, 431) = 308596

GCD(716, 431) = ( 716 x 431 ) / 308596

GCD(716, 431) = 308596 / 308596

GCD(716, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 716, 431, 14 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 716, 431, 14

1. What is the GCD of 716, 431, 14?

GCD of 716, 431, 14 is 1

2. Where do I get the detailed procedure to find GCD of 716, 431, 14?

You can find a detailed procedure to find GCD of 716, 431, 14 on our page.

3. How to find GCD of 716, 431, 14 on a calculator?

You can find the GCD of 716, 431, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.