GCD of 29, 714, 717, 750 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 29, 714, 717, 750 i.e. 1 largest integer that divides all the numbers equally.

GCD of 29, 714, 717, 750 is 1

GCD(29, 714, 717, 750) = 1

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

GCD of

GCD of numbers 29, 714, 717, 750 is 1

GCD(29, 714, 717, 750) = 1

GCD of 29,714,717,750 Calculator

GCDof 29,714,717,750 is 1

Given Input numbers are 29, 714, 717, 750

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 29, 714, 717, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 714, 717, 750 is 1.

Therefore, GCD of numbers 29, 714, 717, 750 is 1

Finding GCD of 29, 714, 717, 750 using Prime Factorization

Given Input Data is 29, 714, 717, 750

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

Prime Factorization of 29 is 29

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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

Finding GCD of 29, 714, 717, 750 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(29, 714) = 20706

GCD(29, 714) = ( 29 x 714 ) / 20706

GCD(29, 714) = 20706 / 20706

GCD(29, 714) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 29, 714, 717, 750 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 29, 714, 717, 750

1. What is the GCD of 29, 714, 717, 750?

GCD of 29, 714, 717, 750 is 1


2. Where do I get the detailed procedure to find GCD of 29, 714, 717, 750?

You can find a detailed procedure to find GCD of 29, 714, 717, 750 on our page.


3. How to find GCD of 29, 714, 717, 750 on a calculator?

You can find the GCD of 29, 714, 717, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.