GCD of 728, 108, 344 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 728, 108, 344 quickly. Get the easiest ways to solve the greatest common divisor of 728, 108, 344 i.e 4 in different methods as follows.
Given Input numbers are 728, 108, 344
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 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
GCD of numbers is the greatest common divisor
So, the GCD (728, 108, 344) = 4.
Given numbers are 728, 108, 344
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 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 344 are 2 x 2 x 2 x 43
The highest common occurrence is 22
Therefore, GCD of 728, 108, 344 is 4.
Steps to Calculate GCD of 728, 108, 344 using LCM Formula
Given numbers are 728, 108, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 108) = 19656
GCD(728, 108) = ( 728 x 108 ) / 19656
= 728 / 108
= 728
Step2:
LCM(4, 344) = 344
GCD(4, 344) = ( 4 x 344 ) / 344
= 4 / 344
= 4
So, Greatest Common Divisor of 728, 108, 344 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 728, 108, 344
Given numbers are 728, 108, 344
The greatest common divisor of numbers 728, 108, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 108, 344 is 4.
FAQs on GCD of 728, 108, 344 Calculator
1. What is the GCD of 728, 108, 344?
GCD of given numbers 728, 108, 344 is 4
2. How to calculate the greatest common divisor of 728, 108, 344?
We can find the highest common divisor of 728, 108, 344 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, 108, 344 i.e 4.
3. How can I use the GCD of 728, 108, 344Calculator?
Out the numbers 728, 108, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.