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GCD of 728, 799, 89 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, 799, 89 quickly. Get the easiest ways to solve the greatest common divisor of 728, 799, 89 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 728, 799, 89 with Factoring?

Given Input numbers are 728, 799, 89

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 799 :

The positive integer divisors of 799 that completely divides 799 are.

1, 17, 47, 799

Divisors of 89 :

The positive integer divisors of 89 that completely divides 89 are.

1, 89


GCD of numbers is the greatest common divisor

So, the GCD (728, 799, 89) = 1.

Find GCD of 728, 799, 89 using Prime Factorization

Given numbers are 728, 799, 89

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 799 are 17 x 47

Prime factors of 89 are 89

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

Steps to Calculate GCD of 728, 799, 89 using LCM Formula

Given numbers are 728, 799, 89

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

Apply this formula for all numbers.

Step1:

LCM(728, 799) = 581672

GCD(728, 799) = ( 728 x 799 ) / 581672

= 728 / 799

= 728


Step2:

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

= 1 / 89

= 1


So, Greatest Common Divisor of 728, 799, 89 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 728, 799, 89

Given numbers are 728, 799, 89
The greatest common divisor of numbers 728, 799, 89 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 799, 89 is 1.

FAQs on GCD of 728, 799, 89 Calculator

1. What is the GCD of 728, 799, 89?

GCD of given numbers 728, 799, 89 is 1


2. How to calculate the greatest common divisor of 728, 799, 89?

We can find the highest common divisor of 728, 799, 89 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, 799, 89 i.e 1.


3. How can I use the GCD of 728, 799, 89Calculator?

Out the numbers 728, 799, 89 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.