Where do I get the detailed procedure to find GCD of 348, 360, 111?

You can find a detailed procedure to find GCD of 348, 360, 111 on our page.

How to find GCD of 348, 360, 111 on a calculator?

You can find the GCD of 348, 360, 111 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, 360, 111 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, 360, 111 quickly. Get the easiest ways to solve the greatest common divisor of 348, 360, 111 i.e 3 in different methods as follows.

How to Find GCD of Numbers 348, 360, 111 with Factoring?

Given Input numbers are 348, 360, 111

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 111 :

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

1, 3, 37, 111

GCD of numbers is the greatest common divisor

So, the GCD (348, 360, 111) = 3.

Find GCD of 348, 360, 111 using Prime Factorization

Given numbers are 348, 360, 111

The list of prime factors of all numbers are

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 111 are 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 348, 360, 111 is 3.

Steps to Calculate GCD of 348, 360, 111 using LCM Formula

Given numbers are 348, 360, 111

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

Apply this formula for all numbers.

Step1:

LCM(348, 360) = 10440

GCD(348, 360) = ( 348 x 360 ) / 10440

= 348 / 360

= 348

Step2:

LCM(12, 111) = 444

GCD(12, 111) = ( 12 x 111 ) / 444

= 12 / 111

= 12

So, Greatest Common Divisor of 348, 360, 111 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 348, 360, 111

Given numbers are 348, 360, 111
The greatest common divisor of numbers 348, 360, 111 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 360, 111 is 3.

FAQs on GCD of 348, 360, 111 Calculator

1. What is the GCD of 348, 360, 111?

GCD of given numbers 348, 360, 111 is 3

2. How to calculate the greatest common divisor of 348, 360, 111?

We can find the highest common divisor of 348, 360, 111 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, 360, 111 i.e 3.

3. How can I use the GCD of 348, 360, 111Calculator?

Out the numbers 348, 360, 111 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.