GCD of 567, 756, 864 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 567, 756, 864 quickly. Get the easiest ways to solve the greatest common divisor of 567, 756, 864 i.e 27 in different methods as follows.
Given Input numbers are 567, 756, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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 (567, 756, 864) = 27.
Given numbers are 567, 756, 864
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
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 33
Therefore, GCD of 567, 756, 864 is 27.
Steps to Calculate GCD of 567, 756, 864 using LCM Formula
Given numbers are 567, 756, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 756) = 2268
GCD(567, 756) = ( 567 x 756 ) / 2268
= 567 / 756
= 567
Step2:
LCM(189, 864) = 6048
GCD(189, 864) = ( 189 x 864 ) / 6048
= 189 / 864
= 189
So, Greatest Common Divisor of 567, 756, 864 is 27
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 567, 756, 864
Given numbers are 567, 756, 864
The greatest common divisor of numbers 567, 756, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 756, 864 is 27.
FAQs on GCD of 567, 756, 864 Calculator
1. What is the GCD of 567, 756, 864?
GCD of given numbers 567, 756, 864 is 27
2. How to calculate the greatest common divisor of 567, 756, 864?
We can find the highest common divisor of 567, 756, 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 567, 756, 864 i.e 27.
3. How can I use the GCD of 567, 756, 864Calculator?
Out the numbers 567, 756, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.