GCD of 438, 216, 768 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 438, 216, 768 quickly. Get the easiest ways to solve the greatest common divisor of 438, 216, 768 i.e 6 in different methods as follows.
Given Input numbers are 438, 216, 768
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
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 (438, 216, 768) = 6.
Given numbers are 438, 216, 768
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
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 438, 216, 768 is 6.
Steps to Calculate GCD of 438, 216, 768 using LCM Formula
Given numbers are 438, 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(438, 216) = 15768
GCD(438, 216) = ( 438 x 216 ) / 15768
= 438 / 216
= 438
Step2:
LCM(6, 768) = 768
GCD(6, 768) = ( 6 x 768 ) / 768
= 6 / 768
= 6
So, Greatest Common Divisor of 438, 216, 768 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 438, 216, 768
Given numbers are 438, 216, 768
The greatest common divisor of numbers 438, 216, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 216, 768 is 6.
FAQs on GCD of 438, 216, 768 Calculator
1. What is the GCD of 438, 216, 768?
GCD of given numbers 438, 216, 768 is 6
2. How to calculate the greatest common divisor of 438, 216, 768?
We can find the highest common divisor of 438, 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 438, 216, 768 i.e 6.
3. How can I use the GCD of 438, 216, 768Calculator?
Out the numbers 438, 216, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.