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GCD of 864, 834, 810, 720 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 864, 834, 810, 720 quickly. Get the easiest ways to solve the greatest common divisor of 864, 834, 810, 720 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 864, 834, 810, 720 with Factoring?

Given Input numbers are 864, 834, 810, 720

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 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720


GCD of numbers is the greatest common divisor

So, the GCD (864, 834, 810, 720) = 6.

Find GCD of 864, 834, 810, 720 using Prime Factorization

Given numbers are 864, 834, 810, 720

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 834 are 2 x 3 x 139

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 21 x 31

Therefore, GCD of 864, 834, 810, 720 is 6.

Steps to Calculate GCD of 864, 834, 810, 720 using LCM Formula

Given numbers are 864, 834, 810, 720

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(864, 834) = 120096

GCD(864, 834) = ( 864 x 834 ) / 120096

= 864 / 834

= 864


Step2:

LCM(6, 810) = 810

GCD(6, 810) = ( 6 x 810 ) / 810

= 6 / 810

= 6


Step3:

LCM(6, 720) = 720

GCD(6, 720) = ( 6 x 720 ) / 720

= 6 / 720

= 6


So, Greatest Common Divisor of 864, 834, 810, 720 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 864, 834, 810, 720

Given numbers are 864, 834, 810, 720
The greatest common divisor of numbers 864, 834, 810, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 834, 810, 720 is 6.

FAQs on GCD of 864, 834, 810, 720 Calculator

1. What is the GCD of 864, 834, 810, 720?

GCD of given numbers 864, 834, 810, 720 is 6


2. How to calculate the greatest common divisor of 864, 834, 810, 720?

We can find the highest common divisor of 864, 834, 810, 720 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, 834, 810, 720 i.e 6.


3. How can I use the GCD of 864, 834, 810, 720Calculator?

Out the numbers 864, 834, 810, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.