GCD of 108, 314, 864 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 108, 314, 864 quickly. Get the easiest ways to solve the greatest common divisor of 108, 314, 864 i.e 2 in different methods as follows.
Given Input numbers are 108, 314, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
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
GCD of numbers is the greatest common divisor
So, the GCD (108, 314, 864) = 2.
Given numbers are 108, 314, 864
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 314 are 2 x 157
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 108, 314, 864 is 2.
Steps to Calculate GCD of 108, 314, 864 using LCM Formula
Given numbers are 108, 314, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 314) = 16956
GCD(108, 314) = ( 108 x 314 ) / 16956
= 108 / 314
= 108
Step2:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
So, Greatest Common Divisor of 108, 314, 864 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 108, 314, 864
Given numbers are 108, 314, 864
The greatest common divisor of numbers 108, 314, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 314, 864 is 2.
FAQs on GCD of 108, 314, 864 Calculator
1. What is the GCD of 108, 314, 864?
GCD of given numbers 108, 314, 864 is 2
2. How to calculate the greatest common divisor of 108, 314, 864?
We can find the highest common divisor of 108, 314, 864 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 108, 314, 864 i.e 2.
3. How can I use the GCD of 108, 314, 864Calculator?
Out the numbers 108, 314, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.