GCD of 564, 747, 864 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 564, 747, 864 quickly. Get the easiest ways to solve the greatest common divisor of 564, 747, 864 i.e 3 in different methods as follows.
Given Input numbers are 564, 747, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
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 (564, 747, 864) = 3.
Given numbers are 564, 747, 864
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 747 are 3 x 3 x 83
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 31
Therefore, GCD of 564, 747, 864 is 3.
Steps to Calculate GCD of 564, 747, 864 using LCM Formula
Given numbers are 564, 747, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 747) = 140436
GCD(564, 747) = ( 564 x 747 ) / 140436
= 564 / 747
= 564
Step2:
LCM(3, 864) = 864
GCD(3, 864) = ( 3 x 864 ) / 864
= 3 / 864
= 3
So, Greatest Common Divisor of 564, 747, 864 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 564, 747, 864
Given numbers are 564, 747, 864
The greatest common divisor of numbers 564, 747, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 747, 864 is 3.
FAQs on GCD of 564, 747, 864 Calculator
1. What is the GCD of 564, 747, 864?
GCD of given numbers 564, 747, 864 is 3
2. How to calculate the greatest common divisor of 564, 747, 864?
We can find the highest common divisor of 564, 747, 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 564, 747, 864 i.e 3.
3. How can I use the GCD of 564, 747, 864Calculator?
Out the numbers 564, 747, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.