GCD of 832, 384, 864 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 832, 384, 864 quickly. Get the easiest ways to solve the greatest common divisor of 832, 384, 864 i.e 32 in different methods as follows.
Given Input numbers are 832, 384, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
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 (832, 384, 864) = 32.
Given numbers are 832, 384, 864
The list of prime factors of all numbers are
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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 25
Therefore, GCD of 832, 384, 864 is 32.
Steps to Calculate GCD of 832, 384, 864 using LCM Formula
Given numbers are 832, 384, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(832, 384) = 4992
GCD(832, 384) = ( 832 x 384 ) / 4992
= 832 / 384
= 832
Step2:
LCM(64, 864) = 1728
GCD(64, 864) = ( 64 x 864 ) / 1728
= 64 / 864
= 64
So, Greatest Common Divisor of 832, 384, 864 is 32
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 832, 384, 864
Given numbers are 832, 384, 864
The greatest common divisor of numbers 832, 384, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 384, 864 is 32.
FAQs on GCD of 832, 384, 864 Calculator
1. What is the GCD of 832, 384, 864?
GCD of given numbers 832, 384, 864 is 32
2. How to calculate the greatest common divisor of 832, 384, 864?
We can find the highest common divisor of 832, 384, 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 832, 384, 864 i.e 32.
3. How can I use the GCD of 832, 384, 864Calculator?
Out the numbers 832, 384, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.