GCD of 728, 390, 268 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 728, 390, 268 quickly. Get the easiest ways to solve the greatest common divisor of 728, 390, 268 i.e 2 in different methods as follows.
Given Input numbers are 728, 390, 268
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 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
GCD of numbers is the greatest common divisor
So, the GCD (728, 390, 268) = 2.
Given numbers are 728, 390, 268
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 390 are 2 x 3 x 5 x 13
Prime factors of 268 are 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 728, 390, 268 is 2.
Steps to Calculate GCD of 728, 390, 268 using LCM Formula
Given numbers are 728, 390, 268
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 390) = 10920
GCD(728, 390) = ( 728 x 390 ) / 10920
= 728 / 390
= 728
Step2:
LCM(26, 268) = 3484
GCD(26, 268) = ( 26 x 268 ) / 3484
= 26 / 268
= 26
So, Greatest Common Divisor of 728, 390, 268 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 728, 390, 268
Given numbers are 728, 390, 268
The greatest common divisor of numbers 728, 390, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 390, 268 is 2.
FAQs on GCD of 728, 390, 268 Calculator
1. What is the GCD of 728, 390, 268?
GCD of given numbers 728, 390, 268 is 2
2. How to calculate the greatest common divisor of 728, 390, 268?
We can find the highest common divisor of 728, 390, 268 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, 390, 268 i.e 2.
3. How can I use the GCD of 728, 390, 268Calculator?
Out the numbers 728, 390, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.