GCD of 579, 720, 342 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 579, 720, 342 quickly. Get the easiest ways to solve the greatest common divisor of 579, 720, 342 i.e 3 in different methods as follows.
Given Input numbers are 579, 720, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 579 :
The positive integer divisors of 579 that completely divides 579 are.
1, 3, 193, 579
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (579, 720, 342) = 3.
Given numbers are 579, 720, 342
The list of prime factors of all numbers are
Prime factors of 579 are 3 x 193
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 579, 720, 342 is 3.
Steps to Calculate GCD of 579, 720, 342 using LCM Formula
Given numbers are 579, 720, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(579, 720) = 138960
GCD(579, 720) = ( 579 x 720 ) / 138960
= 579 / 720
= 579
Step2:
LCM(3, 342) = 342
GCD(3, 342) = ( 3 x 342 ) / 342
= 3 / 342
= 3
So, Greatest Common Divisor of 579, 720, 342 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 579, 720, 342
Given numbers are 579, 720, 342
The greatest common divisor of numbers 579, 720, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 579, 720, 342 is 3.
FAQs on GCD of 579, 720, 342 Calculator
1. What is the GCD of 579, 720, 342?
GCD of given numbers 579, 720, 342 is 3
2. How to calculate the greatest common divisor of 579, 720, 342?
We can find the highest common divisor of 579, 720, 342 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 579, 720, 342 i.e 3.
3. How can I use the GCD of 579, 720, 342Calculator?
Out the numbers 579, 720, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.