Where do I get the detailed procedure to find GCD of 774, 111, 918?

You can find a detailed procedure to find GCD of 774, 111, 918 on our page.

How to find GCD of 774, 111, 918 on a calculator?

You can find the GCD of 774, 111, 918 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 774, 111, 918 Calculator

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

Online GCD Calculator is useful to find the GCD of 774, 111, 918 quickly. Get the easiest ways to solve the greatest common divisor of 774, 111, 918 i.e 3 in different methods as follows.

How to Find GCD of Numbers 774, 111, 918 with Factoring?

Given Input numbers are 774, 111, 918

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 111 :

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

1, 3, 37, 111

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (774, 111, 918) = 3.

Find GCD of 774, 111, 918 using Prime Factorization

Given numbers are 774, 111, 918

The list of prime factors of all numbers are

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 111 are 3 x 37

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 774, 111, 918 is 3.

Steps to Calculate GCD of 774, 111, 918 using LCM Formula

Given numbers are 774, 111, 918

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

Apply this formula for all numbers.

Step1:

LCM(774, 111) = 28638

GCD(774, 111) = ( 774 x 111 ) / 28638

= 774 / 111

= 774

Step2:

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

= 3 / 918

= 3

So, Greatest Common Divisor of 774, 111, 918 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 774, 111, 918

Given numbers are 774, 111, 918
The greatest common divisor of numbers 774, 111, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 111, 918 is 3.

FAQs on GCD of 774, 111, 918 Calculator

1. What is the GCD of 774, 111, 918?

GCD of given numbers 774, 111, 918 is 3

2. How to calculate the greatest common divisor of 774, 111, 918?

We can find the highest common divisor of 774, 111, 918 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 774, 111, 918 i.e 3.

3. How can I use the GCD of 774, 111, 918Calculator?

Out the numbers 774, 111, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.