GCD of 711, 369, 864 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 711, 369, 864 quickly. Get the easiest ways to solve the greatest common divisor of 711, 369, 864 i.e 9 in different methods as follows.
Given Input numbers are 711, 369, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
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 (711, 369, 864) = 9.
Given numbers are 711, 369, 864
The list of prime factors of all numbers are
Prime factors of 711 are 3 x 3 x 79
Prime factors of 369 are 3 x 3 x 41
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 32
Therefore, GCD of 711, 369, 864 is 9.
Steps to Calculate GCD of 711, 369, 864 using LCM Formula
Given numbers are 711, 369, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(711, 369) = 29151
GCD(711, 369) = ( 711 x 369 ) / 29151
= 711 / 369
= 711
Step2:
LCM(9, 864) = 864
GCD(9, 864) = ( 9 x 864 ) / 864
= 9 / 864
= 9
So, Greatest Common Divisor of 711, 369, 864 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 711, 369, 864
Given numbers are 711, 369, 864
The greatest common divisor of numbers 711, 369, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 369, 864 is 9.
FAQs on GCD of 711, 369, 864 Calculator
1. What is the GCD of 711, 369, 864?
GCD of given numbers 711, 369, 864 is 9
2. How to calculate the greatest common divisor of 711, 369, 864?
We can find the highest common divisor of 711, 369, 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 711, 369, 864 i.e 9.
3. How can I use the GCD of 711, 369, 864Calculator?
Out the numbers 711, 369, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.