GCD of 384, 549, 390 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 384, 549, 390 quickly. Get the easiest ways to solve the greatest common divisor of 384, 549, 390 i.e 3 in different methods as follows.
Given Input numbers are 384, 549, 390
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
GCD of numbers is the greatest common divisor
So, the GCD (384, 549, 390) = 3.
Given numbers are 384, 549, 390
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 549 are 3 x 3 x 61
Prime factors of 390 are 2 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 384, 549, 390 is 3.
Steps to Calculate GCD of 384, 549, 390 using LCM Formula
Given numbers are 384, 549, 390
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 549) = 70272
GCD(384, 549) = ( 384 x 549 ) / 70272
= 384 / 549
= 384
Step2:
LCM(3, 390) = 390
GCD(3, 390) = ( 3 x 390 ) / 390
= 3 / 390
= 3
So, Greatest Common Divisor of 384, 549, 390 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 384, 549, 390
Given numbers are 384, 549, 390
The greatest common divisor of numbers 384, 549, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 549, 390 is 3.
FAQs on GCD of 384, 549, 390 Calculator
1. What is the GCD of 384, 549, 390?
GCD of given numbers 384, 549, 390 is 3
2. How to calculate the greatest common divisor of 384, 549, 390?
We can find the highest common divisor of 384, 549, 390 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 384, 549, 390 i.e 3.
3. How can I use the GCD of 384, 549, 390Calculator?
Out the numbers 384, 549, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.