GCD of 864, 696, 360 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 864, 696, 360 quickly. Get the easiest ways to solve the greatest common divisor of 864, 696, 360 i.e 24 in different methods as follows.
Given Input numbers are 864, 696, 360
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (864, 696, 360) = 24.
Given numbers are 864, 696, 360
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 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 23 x 31
Therefore, GCD of 864, 696, 360 is 24.
Steps to Calculate GCD of 864, 696, 360 using LCM Formula
Given numbers are 864, 696, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 696) = 25056
GCD(864, 696) = ( 864 x 696 ) / 25056
= 864 / 696
= 864
Step2:
LCM(24, 360) = 360
GCD(24, 360) = ( 24 x 360 ) / 360
= 24 / 360
= 24
So, Greatest Common Divisor of 864, 696, 360 is 24
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 864, 696, 360
Given numbers are 864, 696, 360
The greatest common divisor of numbers 864, 696, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 696, 360 is 24.
FAQs on GCD of 864, 696, 360 Calculator
1. What is the GCD of 864, 696, 360?
GCD of given numbers 864, 696, 360 is 24
2. How to calculate the greatest common divisor of 864, 696, 360?
We can find the highest common divisor of 864, 696, 360 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, 696, 360 i.e 24.
3. How can I use the GCD of 864, 696, 360Calculator?
Out the numbers 864, 696, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.