GCD of 689, 728, 723 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 689, 728, 723 quickly. Get the easiest ways to solve the greatest common divisor of 689, 728, 723 i.e 1 in different methods as follows.
Given Input numbers are 689, 728, 723
In the factoring method, we have to find the divisors of all numbers
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
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 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
GCD of numbers is the greatest common divisor
So, the GCD (689, 728, 723) = 1.
Given numbers are 689, 728, 723
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 723 are 3 x 241
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 689, 728, 723 using LCM Formula
Given numbers are 689, 728, 723
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 728) = 38584
GCD(689, 728) = ( 689 x 728 ) / 38584
= 689 / 728
= 689
Step2:
LCM(13, 723) = 9399
GCD(13, 723) = ( 13 x 723 ) / 9399
= 13 / 723
= 13
So, Greatest Common Divisor of 689, 728, 723 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 689, 728, 723
Given numbers are 689, 728, 723
The greatest common divisor of numbers 689, 728, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 728, 723 is 1.
FAQs on GCD of 689, 728, 723 Calculator
1. What is the GCD of 689, 728, 723?
GCD of given numbers 689, 728, 723 is 1
2. How to calculate the greatest common divisor of 689, 728, 723?
We can find the highest common divisor of 689, 728, 723 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 689, 728, 723 i.e 1.
3. How can I use the GCD of 689, 728, 723Calculator?
Out the numbers 689, 728, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.