GCD of 723, 579, 228 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 723, 579, 228 quickly. Get the easiest ways to solve the greatest common divisor of 723, 579, 228 i.e 3 in different methods as follows.
Given Input numbers are 723, 579, 228
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 579 :
The positive integer divisors of 579 that completely divides 579 are.
1, 3, 193, 579
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (723, 579, 228) = 3.
Given numbers are 723, 579, 228
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 579 are 3 x 193
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 723, 579, 228 is 3.
Steps to Calculate GCD of 723, 579, 228 using LCM Formula
Given numbers are 723, 579, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 579) = 139539
GCD(723, 579) = ( 723 x 579 ) / 139539
= 723 / 579
= 723
Step2:
LCM(3, 228) = 228
GCD(3, 228) = ( 3 x 228 ) / 228
= 3 / 228
= 3
So, Greatest Common Divisor of 723, 579, 228 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 723, 579, 228
Given numbers are 723, 579, 228
The greatest common divisor of numbers 723, 579, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 579, 228 is 3.
FAQs on GCD of 723, 579, 228 Calculator
1. What is the GCD of 723, 579, 228?
GCD of given numbers 723, 579, 228 is 3
2. How to calculate the greatest common divisor of 723, 579, 228?
We can find the highest common divisor of 723, 579, 228 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 723, 579, 228 i.e 3.
3. How can I use the GCD of 723, 579, 228Calculator?
Out the numbers 723, 579, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.