Online GCD Calculator is useful to find the GCD of 864, 216, 478 quickly. Get the easiest ways to solve the greatest common divisor of 864, 216, 478 i.e 2 in different methods as follows.
Given Input numbers are 864, 216, 478
In the factoring method, we have to find the divisors of all numbers
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
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 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
GCD of numbers is the greatest common divisor
So, the GCD (864, 216, 478) = 2.
Given numbers are 864, 216, 478
The list of prime factors of all numbers are
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 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 478 are 2 x 239
The highest common occurrence is 21
Therefore, GCD of 864, 216, 478 is 2.
Given numbers are 864, 216, 478
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 216) = 864
GCD(864, 216) = ( 864 x 216 ) / 864
= 864 / 216
= 864
Step2:
LCM(216, 478) = 51624
GCD(216, 478) = ( 216 x 478 ) / 51624
= 216 / 478
= 216
So, Greatest Common Divisor of 864, 216, 478 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 216, 478
The greatest common divisor of numbers 864, 216, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 216, 478 is 2.
1. What is the GCD of 864, 216, 478?
GCD of given numbers 864, 216, 478 is 2
2. How to calculate the greatest common divisor of 864, 216, 478?
We can find the highest common divisor of 864, 216, 478 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 864, 216, 478 i.e 2.
3. How can I use the GCD of 864, 216, 478Calculator?
Out the numbers 864, 216, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.