Where do I get the detailed procedure to find GCD of 711, 162, 768?

You can find a detailed procedure to find GCD of 711, 162, 768 on our page.

How to find GCD of 711, 162, 768 on a calculator?

You can find the GCD of 711, 162, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 711, 162, 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 711, 162, 768 quickly. Get the easiest ways to solve the greatest common divisor of 711, 162, 768 i.e 3 in different methods as follows.

How to Find GCD of Numbers 711, 162, 768 with Factoring?

Given Input numbers are 711, 162, 768

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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 (711, 162, 768) = 3.

Find GCD of 711, 162, 768 using Prime Factorization

Given numbers are 711, 162, 768

The list of prime factors of all numbers are

Prime factors of 711 are 3 x 3 x 79

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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 711, 162, 768 is 3.

Steps to Calculate GCD of 711, 162, 768 using LCM Formula

Given numbers are 711, 162, 768

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

Apply this formula for all numbers.

Step1:

LCM(711, 162) = 12798

GCD(711, 162) = ( 711 x 162 ) / 12798

= 711 / 162

= 711

Step2:

LCM(9, 768) = 2304

GCD(9, 768) = ( 9 x 768 ) / 2304

= 9 / 768

= 9

So, Greatest Common Divisor of 711, 162, 768 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 711, 162, 768

Given numbers are 711, 162, 768
The greatest common divisor of numbers 711, 162, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 162, 768 is 3.

FAQs on GCD of 711, 162, 768 Calculator

1. What is the GCD of 711, 162, 768?

GCD of given numbers 711, 162, 768 is 3

2. How to calculate the greatest common divisor of 711, 162, 768?

We can find the highest common divisor of 711, 162, 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 711, 162, 768 i.e 3.

3. How can I use the GCD of 711, 162, 768Calculator?

Out the numbers 711, 162, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.