Where do I get the detailed procedure to find GCD of 228, 241, 724?

You can find a detailed procedure to find GCD of 228, 241, 724 on our page.

How to find GCD of 228, 241, 724 on a calculator?

You can find the GCD of 228, 241, 724 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, 241, 724 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, 241, 724 quickly. Get the easiest ways to solve the greatest common divisor of 228, 241, 724 i.e 1 in different methods as follows.

How to Find GCD of Numbers 228, 241, 724 with Factoring?

Given Input numbers are 228, 241, 724

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 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (228, 241, 724) = 1.

Find GCD of 228, 241, 724 using Prime Factorization

Given numbers are 228, 241, 724

The list of prime factors of all numbers are

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

Prime factors of 241 are 241

Prime factors of 724 are 2 x 2 x 181

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

Steps to Calculate GCD of 228, 241, 724 using LCM Formula

Given numbers are 228, 241, 724

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

Apply this formula for all numbers.

Step1:

LCM(228, 241) = 54948

GCD(228, 241) = ( 228 x 241 ) / 54948

= 228 / 241

= 228

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

So, Greatest Common Divisor of 228, 241, 724 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 228, 241, 724

Given numbers are 228, 241, 724
The greatest common divisor of numbers 228, 241, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 241, 724 is 1.

FAQs on GCD of 228, 241, 724 Calculator

1. What is the GCD of 228, 241, 724?

GCD of given numbers 228, 241, 724 is 1

2. How to calculate the greatest common divisor of 228, 241, 724?

We can find the highest common divisor of 228, 241, 724 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, 241, 724 i.e 1.

3. How can I use the GCD of 228, 241, 724Calculator?

Out the numbers 228, 241, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.