Where do I get the detailed procedure to find GCD of 348, 180, 774?

You can find a detailed procedure to find GCD of 348, 180, 774 on our page.

How to find GCD of 348, 180, 774 on a calculator?

You can find the GCD of 348, 180, 774 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 348, 180, 774 Calculator

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

Online GCD Calculator is useful to find the GCD of 348, 180, 774 quickly. Get the easiest ways to solve the greatest common divisor of 348, 180, 774 i.e 6 in different methods as follows.

How to Find GCD of Numbers 348, 180, 774 with Factoring?

Given Input numbers are 348, 180, 774

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 774 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (348, 180, 774) = 6.

Find GCD of 348, 180, 774 using Prime Factorization

Given numbers are 348, 180, 774

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

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

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 348, 180, 774 is 6.

Steps to Calculate GCD of 348, 180, 774 using LCM Formula

Given numbers are 348, 180, 774

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

Apply this formula for all numbers.

Step1:

LCM(348, 180) = 5220

GCD(348, 180) = ( 348 x 180 ) / 5220

= 348 / 180

= 348

Step2:

LCM(12, 774) = 1548

GCD(12, 774) = ( 12 x 774 ) / 1548

= 12 / 774

= 12

So, Greatest Common Divisor of 348, 180, 774 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 348, 180, 774

Given numbers are 348, 180, 774
The greatest common divisor of numbers 348, 180, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 180, 774 is 6.

FAQs on GCD of 348, 180, 774 Calculator

1. What is the GCD of 348, 180, 774?

GCD of given numbers 348, 180, 774 is 6

2. How to calculate the greatest common divisor of 348, 180, 774?

We can find the highest common divisor of 348, 180, 774 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 348, 180, 774 i.e 6.

3. How can I use the GCD of 348, 180, 774Calculator?

Out the numbers 348, 180, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.