Where do I get the detailed procedure to find GCD of 221, 741, 829?

You can find a detailed procedure to find GCD of 221, 741, 829 on our page.

How to find GCD of 221, 741, 829 on a calculator?

You can find the GCD of 221, 741, 829 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 221, 741, 829 Calculator

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

Online GCD Calculator is useful to find the GCD of 221, 741, 829 quickly. Get the easiest ways to solve the greatest common divisor of 221, 741, 829 i.e 1 in different methods as follows.

How to Find GCD of Numbers 221, 741, 829 with Factoring?

Given Input numbers are 221, 741, 829

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

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (221, 741, 829) = 1.

Find GCD of 221, 741, 829 using Prime Factorization

Given numbers are 221, 741, 829

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 741 are 3 x 13 x 19

Prime factors of 829 are 829

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

Steps to Calculate GCD of 221, 741, 829 using LCM Formula

Given numbers are 221, 741, 829

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

Apply this formula for all numbers.

Step1:

LCM(221, 741) = 12597

GCD(221, 741) = ( 221 x 741 ) / 12597

= 221 / 741

= 221

Step2:

LCM(13, 829) = 10777

GCD(13, 829) = ( 13 x 829 ) / 10777

= 13 / 829

= 13

So, Greatest Common Divisor of 221, 741, 829 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 221, 741, 829

Given numbers are 221, 741, 829
The greatest common divisor of numbers 221, 741, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 741, 829 is 1.

FAQs on GCD of 221, 741, 829 Calculator

1. What is the GCD of 221, 741, 829?

GCD of given numbers 221, 741, 829 is 1

2. How to calculate the greatest common divisor of 221, 741, 829?

We can find the highest common divisor of 221, 741, 829 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 221, 741, 829 i.e 1.

3. How can I use the GCD of 221, 741, 829Calculator?

Out the numbers 221, 741, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.