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GCD of 864, 744, 176, 810 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, 744, 176, 810 quickly. Get the easiest ways to solve the greatest common divisor of 864, 744, 176, 810 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 864, 744, 176, 810 with Factoring?

Given Input numbers are 864, 744, 176, 810

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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


GCD of numbers is the greatest common divisor

So, the GCD (864, 744, 176, 810) = 2.

Find GCD of 864, 744, 176, 810 using Prime Factorization

Given numbers are 864, 744, 176, 810

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 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

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

The highest common occurrence is 21

Therefore, GCD of 864, 744, 176, 810 is 2.

Steps to Calculate GCD of 864, 744, 176, 810 using LCM Formula

Given numbers are 864, 744, 176, 810

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

Apply this formula for all numbers.

Step1:

LCM(864, 744) = 26784

GCD(864, 744) = ( 864 x 744 ) / 26784

= 864 / 744

= 864


Step2:

LCM(24, 176) = 528

GCD(24, 176) = ( 24 x 176 ) / 528

= 24 / 176

= 24


Step3:

LCM(8, 810) = 3240

GCD(8, 810) = ( 8 x 810 ) / 3240

= 8 / 810

= 8


So, Greatest Common Divisor of 864, 744, 176, 810 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 864, 744, 176, 810

Given numbers are 864, 744, 176, 810
The greatest common divisor of numbers 864, 744, 176, 810 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 744, 176, 810 is 2.

FAQs on GCD of 864, 744, 176, 810 Calculator

1. What is the GCD of 864, 744, 176, 810?

GCD of given numbers 864, 744, 176, 810 is 2


2. How to calculate the greatest common divisor of 864, 744, 176, 810?

We can find the highest common divisor of 864, 744, 176, 810 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, 744, 176, 810 i.e 2.


3. How can I use the GCD of 864, 744, 176, 810Calculator?

Out the numbers 864, 744, 176, 810 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.