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GCD of 804, 111, 768 Calculator

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


Online GCD Calculator is useful to find the GCD of 804, 111, 768 quickly. Get the easiest ways to solve the greatest common divisor of 804, 111, 768 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 804, 111, 768 with Factoring?

Given Input numbers are 804, 111, 768

In the factoring method, we have to find the divisors of all numbers

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768


GCD of numbers is the greatest common divisor

So, the GCD (804, 111, 768) = 3.

Find GCD of 804, 111, 768 using Prime Factorization

Given numbers are 804, 111, 768

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 111 are 3 x 37

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 31

Therefore, GCD of 804, 111, 768 is 3.

Steps to Calculate GCD of 804, 111, 768 using LCM Formula

Given numbers are 804, 111, 768

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

Apply this formula for all numbers.

Step1:

LCM(804, 111) = 29748

GCD(804, 111) = ( 804 x 111 ) / 29748

= 804 / 111

= 804


Step2:

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

= 3 / 768

= 3


So, Greatest Common Divisor of 804, 111, 768 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 804, 111, 768

Given numbers are 804, 111, 768
The greatest common divisor of numbers 804, 111, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 111, 768 is 3.

FAQs on GCD of 804, 111, 768 Calculator

1. What is the GCD of 804, 111, 768?

GCD of given numbers 804, 111, 768 is 3


2. How to calculate the greatest common divisor of 804, 111, 768?

We can find the highest common divisor of 804, 111, 768 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 804, 111, 768 i.e 3.


3. How can I use the GCD of 804, 111, 768Calculator?

Out the numbers 804, 111, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.