GCD of 729, 725, 48, 778 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 729, 725, 48, 778 i.e. 1 largest integer that divides all the numbers equally.

GCD of 729, 725, 48, 778 is 1

GCD(729, 725, 48, 778) = 1

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

GCD of

GCD of numbers 729, 725, 48, 778 is 1

GCD(729, 725, 48, 778) = 1

GCD of 729,725,48,778 Calculator

GCDof 729,725,48,778 is 1

Given Input numbers are 729, 725, 48, 778

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

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 729, 725, 48, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 725, 48, 778 is 1.

Therefore, GCD of numbers 729, 725, 48, 778 is 1

Finding GCD of 729, 725, 48, 778 using Prime Factorization

Given Input Data is 729, 725, 48, 778

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 778 is 2 x 389

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

Finding GCD of 729, 725, 48, 778 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(729, 725) = 528525

GCD(729, 725) = ( 729 x 725 ) / 528525

GCD(729, 725) = 528525 / 528525

GCD(729, 725) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 778

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

LCM(1, 778) = 778

GCD(1, 778) = ( 1 x 778 ) / 778

GCD(1, 778) = 778 / 778

GCD(1, 778) = 1

GCD of 729, 725, 48, 778 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 729, 725, 48, 778

1. What is the GCD of 729, 725, 48, 778?

GCD of 729, 725, 48, 778 is 1


2. Where do I get the detailed procedure to find GCD of 729, 725, 48, 778?

You can find a detailed procedure to find GCD of 729, 725, 48, 778 on our page.


3. How to find GCD of 729, 725, 48, 778 on a calculator?

You can find the GCD of 729, 725, 48, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.