GCD of 486, 216, 768 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 486, 216, 768 quickly. Get the easiest ways to solve the greatest common divisor of 486, 216, 768 i.e 6 in different methods as follows.
Given Input numbers are 486, 216, 768
In the factoring method, we have to find the divisors of all numbers
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
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 (486, 216, 768) = 6.
Given numbers are 486, 216, 768
The list of prime factors of all numbers are
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 216 are 2 x 2 x 2 x 3 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 21 x 31
Therefore, GCD of 486, 216, 768 is 6.
Steps to Calculate GCD of 486, 216, 768 using LCM Formula
Given numbers are 486, 216, 768
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(486, 216) = 1944
GCD(486, 216) = ( 486 x 216 ) / 1944
= 486 / 216
= 486
Step2:
LCM(54, 768) = 6912
GCD(54, 768) = ( 54 x 768 ) / 6912
= 54 / 768
= 54
So, Greatest Common Divisor of 486, 216, 768 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 486, 216, 768
Given numbers are 486, 216, 768
The greatest common divisor of numbers 486, 216, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 216, 768 is 6.
FAQs on GCD of 486, 216, 768 Calculator
1. What is the GCD of 486, 216, 768?
GCD of given numbers 486, 216, 768 is 6
2. How to calculate the greatest common divisor of 486, 216, 768?
We can find the highest common divisor of 486, 216, 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 486, 216, 768 i.e 6.
3. How can I use the GCD of 486, 216, 768Calculator?
Out the numbers 486, 216, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.