GCD of 864, 285, 363 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 864, 285, 363 quickly. Get the easiest ways to solve the greatest common divisor of 864, 285, 363 i.e 3 in different methods as follows.
Given Input numbers are 864, 285, 363
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 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
GCD of numbers is the greatest common divisor
So, the GCD (864, 285, 363) = 3.
Given numbers are 864, 285, 363
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 285 are 3 x 5 x 19
Prime factors of 363 are 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 864, 285, 363 is 3.
Steps to Calculate GCD of 864, 285, 363 using LCM Formula
Given numbers are 864, 285, 363
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 285) = 82080
GCD(864, 285) = ( 864 x 285 ) / 82080
= 864 / 285
= 864
Step2:
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
= 3 / 363
= 3
So, Greatest Common Divisor of 864, 285, 363 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 864, 285, 363
Given numbers are 864, 285, 363
The greatest common divisor of numbers 864, 285, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 285, 363 is 3.
FAQs on GCD of 864, 285, 363 Calculator
1. What is the GCD of 864, 285, 363?
GCD of given numbers 864, 285, 363 is 3
2. How to calculate the greatest common divisor of 864, 285, 363?
We can find the highest common divisor of 864, 285, 363 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, 285, 363 i.e 3.
3. How can I use the GCD of 864, 285, 363Calculator?
Out the numbers 864, 285, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.