Where do I get the detailed procedure to find GCD of 297, 693, 342?

You can find a detailed procedure to find GCD of 297, 693, 342 on our page.

How to find GCD of 297, 693, 342 on a calculator?

You can find the GCD of 297, 693, 342 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, 693, 342 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, 693, 342 quickly. Get the easiest ways to solve the greatest common divisor of 297, 693, 342 i.e 9 in different methods as follows.

How to Find GCD of Numbers 297, 693, 342 with Factoring?

Given Input numbers are 297, 693, 342

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (297, 693, 342) = 9.

Find GCD of 297, 693, 342 using Prime Factorization

Given numbers are 297, 693, 342

The list of prime factors of all numbers are

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

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 3²

Therefore, GCD of 297, 693, 342 is 9.

Steps to Calculate GCD of 297, 693, 342 using LCM Formula

Given numbers are 297, 693, 342

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

Apply this formula for all numbers.

Step1:

LCM(297, 693) = 2079

GCD(297, 693) = ( 297 x 693 ) / 2079

= 297 / 693

= 297

Step2:

LCM(99, 342) = 3762

GCD(99, 342) = ( 99 x 342 ) / 3762

= 99 / 342

= 99

So, Greatest Common Divisor of 297, 693, 342 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 297, 693, 342

Given numbers are 297, 693, 342
The greatest common divisor of numbers 297, 693, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 693, 342 is 9.

FAQs on GCD of 297, 693, 342 Calculator

1. What is the GCD of 297, 693, 342?

GCD of given numbers 297, 693, 342 is 9

2. How to calculate the greatest common divisor of 297, 693, 342?

We can find the highest common divisor of 297, 693, 342 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, 693, 342 i.e 9.

3. How can I use the GCD of 297, 693, 342Calculator?

Out the numbers 297, 693, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.