GCD of 384, 144, 584 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 384, 144, 584 quickly. Get the easiest ways to solve the greatest common divisor of 384, 144, 584 i.e 8 in different methods as follows.
Given Input numbers are 384, 144, 584
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 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
GCD of numbers is the greatest common divisor
So, the GCD (384, 144, 584) = 8.
Given numbers are 384, 144, 584
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 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 584 are 2 x 2 x 2 x 73
The highest common occurrence is 23
Therefore, GCD of 384, 144, 584 is 8.
Steps to Calculate GCD of 384, 144, 584 using LCM Formula
Given numbers are 384, 144, 584
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 144) = 1152
GCD(384, 144) = ( 384 x 144 ) / 1152
= 384 / 144
= 384
Step2:
LCM(48, 584) = 3504
GCD(48, 584) = ( 48 x 584 ) / 3504
= 48 / 584
= 48
So, Greatest Common Divisor of 384, 144, 584 is 8
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 384, 144, 584
Given numbers are 384, 144, 584
The greatest common divisor of numbers 384, 144, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 144, 584 is 8.
FAQs on GCD of 384, 144, 584 Calculator
1. What is the GCD of 384, 144, 584?
GCD of given numbers 384, 144, 584 is 8
2. How to calculate the greatest common divisor of 384, 144, 584?
We can find the highest common divisor of 384, 144, 584 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, 144, 584 i.e 8.
3. How can I use the GCD of 384, 144, 584Calculator?
Out the numbers 384, 144, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.