GCD of 393, 600, 591 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 393, 600, 591 quickly. Get the easiest ways to solve the greatest common divisor of 393, 600, 591 i.e 3 in different methods as follows.
Given Input numbers are 393, 600, 591
In the factoring method, we have to find the divisors of all numbers
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
GCD of numbers is the greatest common divisor
So, the GCD (393, 600, 591) = 3.
Given numbers are 393, 600, 591
The list of prime factors of all numbers are
Prime factors of 393 are 3 x 131
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 591 are 3 x 197
The highest common occurrence is 31
Therefore, GCD of 393, 600, 591 is 3.
Steps to Calculate GCD of 393, 600, 591 using LCM Formula
Given numbers are 393, 600, 591
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(393, 600) = 78600
GCD(393, 600) = ( 393 x 600 ) / 78600
= 393 / 600
= 393
Step2:
LCM(3, 591) = 591
GCD(3, 591) = ( 3 x 591 ) / 591
= 3 / 591
= 3
So, Greatest Common Divisor of 393, 600, 591 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 393, 600, 591
Given numbers are 393, 600, 591
The greatest common divisor of numbers 393, 600, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 600, 591 is 3.
FAQs on GCD of 393, 600, 591 Calculator
1. What is the GCD of 393, 600, 591?
GCD of given numbers 393, 600, 591 is 3
2. How to calculate the greatest common divisor of 393, 600, 591?
We can find the highest common divisor of 393, 600, 591 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 393, 600, 591 i.e 3.
3. How can I use the GCD of 393, 600, 591Calculator?
Out the numbers 393, 600, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.