Where do I get the detailed procedure to find GCD of 771, 204, 384?

You can find a detailed procedure to find GCD of 771, 204, 384 on our page.

How to find GCD of 771, 204, 384 on a calculator?

You can find the GCD of 771, 204, 384 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 771, 204, 384 Calculator

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

Online GCD Calculator is useful to find the GCD of 771, 204, 384 quickly. Get the easiest ways to solve the greatest common divisor of 771, 204, 384 i.e 3 in different methods as follows.

How to Find GCD of Numbers 771, 204, 384 with Factoring?

Given Input numbers are 771, 204, 384

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

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (771, 204, 384) = 3.

Find GCD of 771, 204, 384 using Prime Factorization

Given numbers are 771, 204, 384

The list of prime factors of all numbers are

Prime factors of 771 are 3 x 257

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 771, 204, 384 is 3.

Steps to Calculate GCD of 771, 204, 384 using LCM Formula

Given numbers are 771, 204, 384

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

Apply this formula for all numbers.

Step1:

LCM(771, 204) = 52428

GCD(771, 204) = ( 771 x 204 ) / 52428

= 771 / 204

= 771

Step2:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

So, Greatest Common Divisor of 771, 204, 384 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 771, 204, 384

Given numbers are 771, 204, 384
The greatest common divisor of numbers 771, 204, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 204, 384 is 3.

FAQs on GCD of 771, 204, 384 Calculator

1. What is the GCD of 771, 204, 384?

GCD of given numbers 771, 204, 384 is 3

2. How to calculate the greatest common divisor of 771, 204, 384?

We can find the highest common divisor of 771, 204, 384 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 771, 204, 384 i.e 3.

3. How can I use the GCD of 771, 204, 384Calculator?

Out the numbers 771, 204, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.