Where do I get the detailed procedure to find GCD of 228, 722, 133?

You can find a detailed procedure to find GCD of 228, 722, 133 on our page.

How to find GCD of 228, 722, 133 on a calculator?

You can find the GCD of 228, 722, 133 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 228, 722, 133 Calculator

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

Online GCD Calculator is useful to find the GCD of 228, 722, 133 quickly. Get the easiest ways to solve the greatest common divisor of 228, 722, 133 i.e 19 in different methods as follows.

How to Find GCD of Numbers 228, 722, 133 with Factoring?

Given Input numbers are 228, 722, 133

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

GCD of numbers is the greatest common divisor

So, the GCD (228, 722, 133) = 19.

Find GCD of 228, 722, 133 using Prime Factorization

Given numbers are 228, 722, 133

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 722 are 2 x 19 x 19

Prime factors of 133 are 7 x 19

The highest common occurrence is 19¹

Therefore, GCD of 228, 722, 133 is 19.

Steps to Calculate GCD of 228, 722, 133 using LCM Formula

Given numbers are 228, 722, 133

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

Apply this formula for all numbers.

Step1:

LCM(228, 722) = 4332

GCD(228, 722) = ( 228 x 722 ) / 4332

= 228 / 722

= 228

Step2:

LCM(38, 133) = 266

GCD(38, 133) = ( 38 x 133 ) / 266

= 38 / 133

= 38

So, Greatest Common Divisor of 228, 722, 133 is 19

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 228, 722, 133

Given numbers are 228, 722, 133
The greatest common divisor of numbers 228, 722, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 722, 133 is 19.

FAQs on GCD of 228, 722, 133 Calculator

1. What is the GCD of 228, 722, 133?

GCD of given numbers 228, 722, 133 is 19

2. How to calculate the greatest common divisor of 228, 722, 133?

We can find the highest common divisor of 228, 722, 133 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 228, 722, 133 i.e 19.

3. How can I use the GCD of 228, 722, 133Calculator?

Out the numbers 228, 722, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.