Where do I get the detailed procedure to find GCD of 229, 198, 67?

You can find a detailed procedure to find GCD of 229, 198, 67 on our page.

How to find GCD of 229, 198, 67 on a calculator?

You can find the GCD of 229, 198, 67 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 229, 198, 67 Calculator

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

Online GCD Calculator is useful to find the GCD of 229, 198, 67 quickly. Get the easiest ways to solve the greatest common divisor of 229, 198, 67 i.e 1 in different methods as follows.

How to Find GCD of Numbers 229, 198, 67 with Factoring?

Given Input numbers are 229, 198, 67

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

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67

GCD of numbers is the greatest common divisor

So, the GCD (229, 198, 67) = 1.

Find GCD of 229, 198, 67 using Prime Factorization

Given numbers are 229, 198, 67

The list of prime factors of all numbers are

Prime factors of 229 are 229

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 67 are 67

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 229, 198, 67 using LCM Formula

Given numbers are 229, 198, 67

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

Apply this formula for all numbers.

Step1:

LCM(229, 198) = 45342

GCD(229, 198) = ( 229 x 198 ) / 45342

= 229 / 198

= 229

Step2:

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

= 1 / 67

= 1

So, Greatest Common Divisor of 229, 198, 67 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 229, 198, 67

Given numbers are 229, 198, 67
The greatest common divisor of numbers 229, 198, 67 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 229, 198, 67 is 1.

FAQs on GCD of 229, 198, 67 Calculator

1. What is the GCD of 229, 198, 67?

GCD of given numbers 229, 198, 67 is 1

2. How to calculate the greatest common divisor of 229, 198, 67?

We can find the highest common divisor of 229, 198, 67 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 229, 198, 67 i.e 1.

3. How can I use the GCD of 229, 198, 67Calculator?

Out the numbers 229, 198, 67 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.