GCD of 728, 614, 428 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 728, 614, 428 quickly. Get the easiest ways to solve the greatest common divisor of 728, 614, 428 i.e 2 in different methods as follows.
Given Input numbers are 728, 614, 428
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 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (728, 614, 428) = 2.
Given numbers are 728, 614, 428
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 614 are 2 x 307
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 728, 614, 428 is 2.
Steps to Calculate GCD of 728, 614, 428 using LCM Formula
Given numbers are 728, 614, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 614) = 223496
GCD(728, 614) = ( 728 x 614 ) / 223496
= 728 / 614
= 728
Step2:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
So, Greatest Common Divisor of 728, 614, 428 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 728, 614, 428
Given numbers are 728, 614, 428
The greatest common divisor of numbers 728, 614, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 614, 428 is 2.
FAQs on GCD of 728, 614, 428 Calculator
1. What is the GCD of 728, 614, 428?
GCD of given numbers 728, 614, 428 is 2
2. How to calculate the greatest common divisor of 728, 614, 428?
We can find the highest common divisor of 728, 614, 428 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, 614, 428 i.e 2.
3. How can I use the GCD of 728, 614, 428Calculator?
Out the numbers 728, 614, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.