Where do I get the detailed procedure to find GCD of 728, 689, 113?

You can find a detailed procedure to find GCD of 728, 689, 113 on our page.

How to find GCD of 728, 689, 113 on a calculator?

You can find the GCD of 728, 689, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 728, 689, 113 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 728, 689, 113 quickly. Get the easiest ways to solve the greatest common divisor of 728, 689, 113 i.e 1 in different methods as follows.

How to Find GCD of Numbers 728, 689, 113 with Factoring?

Given Input numbers are 728, 689, 113

In the factoring method, we have to find the divisors of all numbers

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

GCD of numbers is the greatest common divisor

So, the GCD (728, 689, 113) = 1.

Find GCD of 728, 689, 113 using Prime Factorization

Given numbers are 728, 689, 113

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 689 are 13 x 53

Prime factors of 113 are 113

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

Steps to Calculate GCD of 728, 689, 113 using LCM Formula

Given numbers are 728, 689, 113

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(728, 689) = 38584

GCD(728, 689) = ( 728 x 689 ) / 38584

= 728 / 689

= 728

Step2:

LCM(13, 113) = 1469

GCD(13, 113) = ( 13 x 113 ) / 1469

= 13 / 113

= 13

So, Greatest Common Divisor of 728, 689, 113 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 728, 689, 113

Given numbers are 728, 689, 113
The greatest common divisor of numbers 728, 689, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 689, 113 is 1.

FAQs on GCD of 728, 689, 113 Calculator

1. What is the GCD of 728, 689, 113?

GCD of given numbers 728, 689, 113 is 1

2. How to calculate the greatest common divisor of 728, 689, 113?

We can find the highest common divisor of 728, 689, 113 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 728, 689, 113 i.e 1.

3. How can I use the GCD of 728, 689, 113Calculator?

Out the numbers 728, 689, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.