Where do I get the detailed procedure to find GCD of 774, 180, 218?

You can find a detailed procedure to find GCD of 774, 180, 218 on our page.

How to find GCD of 774, 180, 218 on a calculator?

You can find the GCD of 774, 180, 218 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, 180, 218 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, 180, 218 quickly. Get the easiest ways to solve the greatest common divisor of 774, 180, 218 i.e 2 in different methods as follows.

How to Find GCD of Numbers 774, 180, 218 with Factoring?

Given Input numbers are 774, 180, 218

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (774, 180, 218) = 2.

Find GCD of 774, 180, 218 using Prime Factorization

Given numbers are 774, 180, 218

The list of prime factors of all numbers are

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 774, 180, 218 is 2.

Steps to Calculate GCD of 774, 180, 218 using LCM Formula

Given numbers are 774, 180, 218

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

Apply this formula for all numbers.

Step1:

LCM(774, 180) = 7740

GCD(774, 180) = ( 774 x 180 ) / 7740

= 774 / 180

= 774

Step2:

LCM(18, 218) = 1962

GCD(18, 218) = ( 18 x 218 ) / 1962

= 18 / 218

= 18

So, Greatest Common Divisor of 774, 180, 218 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 774, 180, 218

Given numbers are 774, 180, 218
The greatest common divisor of numbers 774, 180, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 180, 218 is 2.

FAQs on GCD of 774, 180, 218 Calculator

1. What is the GCD of 774, 180, 218?

GCD of given numbers 774, 180, 218 is 2

2. How to calculate the greatest common divisor of 774, 180, 218?

We can find the highest common divisor of 774, 180, 218 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, 180, 218 i.e 2.

3. How can I use the GCD of 774, 180, 218Calculator?

Out the numbers 774, 180, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.