GCD of 588, 596, 728 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 588, 596, 728 quickly. Get the easiest ways to solve the greatest common divisor of 588, 596, 728 i.e 4 in different methods as follows.
Given Input numbers are 588, 596, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
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
GCD of numbers is the greatest common divisor
So, the GCD (588, 596, 728) = 4.
Given numbers are 588, 596, 728
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 596 are 2 x 2 x 149
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The highest common occurrence is 22
Therefore, GCD of 588, 596, 728 is 4.
Steps to Calculate GCD of 588, 596, 728 using LCM Formula
Given numbers are 588, 596, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 596) = 87612
GCD(588, 596) = ( 588 x 596 ) / 87612
= 588 / 596
= 588
Step2:
LCM(4, 728) = 728
GCD(4, 728) = ( 4 x 728 ) / 728
= 4 / 728
= 4
So, Greatest Common Divisor of 588, 596, 728 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 588, 596, 728
Given numbers are 588, 596, 728
The greatest common divisor of numbers 588, 596, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 596, 728 is 4.
FAQs on GCD of 588, 596, 728 Calculator
1. What is the GCD of 588, 596, 728?
GCD of given numbers 588, 596, 728 is 4
2. How to calculate the greatest common divisor of 588, 596, 728?
We can find the highest common divisor of 588, 596, 728 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 588, 596, 728 i.e 4.
3. How can I use the GCD of 588, 596, 728Calculator?
Out the numbers 588, 596, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.