Where do I get the detailed procedure to find GCD of 297, 717, 111?

You can find a detailed procedure to find GCD of 297, 717, 111 on our page.

How to find GCD of 297, 717, 111 on a calculator?

You can find the GCD of 297, 717, 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 297, 717, 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 297, 717, 111 quickly. Get the easiest ways to solve the greatest common divisor of 297, 717, 111 i.e 3 in different methods as follows.

How to Find GCD of Numbers 297, 717, 111 with Factoring?

Given Input numbers are 297, 717, 111

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

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 (297, 717, 111) = 3.

Find GCD of 297, 717, 111 using Prime Factorization

Given numbers are 297, 717, 111

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 717 are 3 x 239

Prime factors of 111 are 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 297, 717, 111 is 3.

Steps to Calculate GCD of 297, 717, 111 using LCM Formula

Given numbers are 297, 717, 111

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

Apply this formula for all numbers.

Step1:

LCM(297, 717) = 70983

GCD(297, 717) = ( 297 x 717 ) / 70983

= 297 / 717

= 297

Step2:

LCM(3, 111) = 111

GCD(3, 111) = ( 3 x 111 ) / 111

= 3 / 111

= 3

So, Greatest Common Divisor of 297, 717, 111 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 297, 717, 111

Given numbers are 297, 717, 111
The greatest common divisor of numbers 297, 717, 111 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 717, 111 is 3.

FAQs on GCD of 297, 717, 111 Calculator

1. What is the GCD of 297, 717, 111?

GCD of given numbers 297, 717, 111 is 3

2. How to calculate the greatest common divisor of 297, 717, 111?

We can find the highest common divisor of 297, 717, 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 297, 717, 111 i.e 3.

3. How can I use the GCD of 297, 717, 111Calculator?

Out the numbers 297, 717, 111 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.