GCD of 584, 864, 14 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 584, 864, 14 quickly. Get the easiest ways to solve the greatest common divisor of 584, 864, 14 i.e 2 in different methods as follows.
Given Input numbers are 584, 864, 14
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
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 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
GCD of numbers is the greatest common divisor
So, the GCD (584, 864, 14) = 2.
Given numbers are 584, 864, 14
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 14 are 2 x 7
The highest common occurrence is 21
Therefore, GCD of 584, 864, 14 is 2.
Steps to Calculate GCD of 584, 864, 14 using LCM Formula
Given numbers are 584, 864, 14
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 864) = 63072
GCD(584, 864) = ( 584 x 864 ) / 63072
= 584 / 864
= 584
Step2:
LCM(8, 14) = 56
GCD(8, 14) = ( 8 x 14 ) / 56
= 8 / 14
= 8
So, Greatest Common Divisor of 584, 864, 14 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 584, 864, 14
Given numbers are 584, 864, 14
The greatest common divisor of numbers 584, 864, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 864, 14 is 2.
FAQs on GCD of 584, 864, 14 Calculator
1. What is the GCD of 584, 864, 14?
GCD of given numbers 584, 864, 14 is 2
2. How to calculate the greatest common divisor of 584, 864, 14?
We can find the highest common divisor of 584, 864, 14 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 584, 864, 14 i.e 2.
3. How can I use the GCD of 584, 864, 14Calculator?
Out the numbers 584, 864, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.