GCD of 648, 576, 768 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 648, 576, 768 quickly. Get the easiest ways to solve the greatest common divisor of 648, 576, 768 i.e 24 in different methods as follows.
Given Input numbers are 648, 576, 768
In the factoring method, we have to find the divisors of all numbers
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
GCD of numbers is the greatest common divisor
So, the GCD (648, 576, 768) = 24.
Given numbers are 648, 576, 768
The list of prime factors of all numbers are
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 23 x 31
Therefore, GCD of 648, 576, 768 is 24.
Steps to Calculate GCD of 648, 576, 768 using LCM Formula
Given numbers are 648, 576, 768
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 576) = 5184
GCD(648, 576) = ( 648 x 576 ) / 5184
= 648 / 576
= 648
Step2:
LCM(72, 768) = 2304
GCD(72, 768) = ( 72 x 768 ) / 2304
= 72 / 768
= 72
So, Greatest Common Divisor of 648, 576, 768 is 24
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 648, 576, 768
Given numbers are 648, 576, 768
The greatest common divisor of numbers 648, 576, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 576, 768 is 24.
FAQs on GCD of 648, 576, 768 Calculator
1. What is the GCD of 648, 576, 768?
GCD of given numbers 648, 576, 768 is 24
2. How to calculate the greatest common divisor of 648, 576, 768?
We can find the highest common divisor of 648, 576, 768 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 648, 576, 768 i.e 24.
3. How can I use the GCD of 648, 576, 768Calculator?
Out the numbers 648, 576, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.