GCD of 408, 240, 288 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 408, 240, 288 quickly. Get the easiest ways to solve the greatest common divisor of 408, 240, 288 i.e 24 in different methods as follows.
Given Input numbers are 408, 240, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (408, 240, 288) = 24.
Given numbers are 408, 240, 288
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 23 x 31
Therefore, GCD of 408, 240, 288 is 24.
Steps to Calculate GCD of 408, 240, 288 using LCM Formula
Given numbers are 408, 240, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 240) = 4080
GCD(408, 240) = ( 408 x 240 ) / 4080
= 408 / 240
= 408
Step2:
LCM(24, 288) = 288
GCD(24, 288) = ( 24 x 288 ) / 288
= 24 / 288
= 24
So, Greatest Common Divisor of 408, 240, 288 is 24
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 408, 240, 288
Given numbers are 408, 240, 288
The greatest common divisor of numbers 408, 240, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 240, 288 is 24.
FAQs on GCD of 408, 240, 288 Calculator
1. What is the GCD of 408, 240, 288?
GCD of given numbers 408, 240, 288 is 24
2. How to calculate the greatest common divisor of 408, 240, 288?
We can find the highest common divisor of 408, 240, 288 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 408, 240, 288 i.e 24.
3. How can I use the GCD of 408, 240, 288Calculator?
Out the numbers 408, 240, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.