Where do I get the detailed procedure to find GCD of 713, 230, 161?

You can find a detailed procedure to find GCD of 713, 230, 161 on our page.

How to find GCD of 713, 230, 161 on a calculator?

You can find the GCD of 713, 230, 161 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 713, 230, 161 Calculator

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

Online GCD Calculator is useful to find the GCD of 713, 230, 161 quickly. Get the easiest ways to solve the greatest common divisor of 713, 230, 161 i.e 23 in different methods as follows.

How to Find GCD of Numbers 713, 230, 161 with Factoring?

Given Input numbers are 713, 230, 161

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

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 161 :

The positive integer divisors of 161 that completely divides 161 are.

1, 7, 23, 161

GCD of numbers is the greatest common divisor

So, the GCD (713, 230, 161) = 23.

Find GCD of 713, 230, 161 using Prime Factorization

Given numbers are 713, 230, 161

The list of prime factors of all numbers are

Prime factors of 713 are 23 x 31

Prime factors of 230 are 2 x 5 x 23

Prime factors of 161 are 7 x 23

The highest common occurrence is 23¹

Therefore, GCD of 713, 230, 161 is 23.

Steps to Calculate GCD of 713, 230, 161 using LCM Formula

Given numbers are 713, 230, 161

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

Apply this formula for all numbers.

Step1:

LCM(713, 230) = 7130

GCD(713, 230) = ( 713 x 230 ) / 7130

= 713 / 230

= 713

Step2:

LCM(23, 161) = 161

GCD(23, 161) = ( 23 x 161 ) / 161

= 23 / 161

= 23

So, Greatest Common Divisor of 713, 230, 161 is 23

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 713, 230, 161

Given numbers are 713, 230, 161
The greatest common divisor of numbers 713, 230, 161 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 713, 230, 161 is 23.

FAQs on GCD of 713, 230, 161 Calculator

1. What is the GCD of 713, 230, 161?

GCD of given numbers 713, 230, 161 is 23

2. How to calculate the greatest common divisor of 713, 230, 161?

We can find the highest common divisor of 713, 230, 161 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 713, 230, 161 i.e 23.

3. How can I use the GCD of 713, 230, 161Calculator?

Out the numbers 713, 230, 161 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.