Where do I get the detailed procedure to find GCD of 230, 575, 325?

You can find a detailed procedure to find GCD of 230, 575, 325 on our page.

How to find GCD of 230, 575, 325 on a calculator?

You can find the GCD of 230, 575, 325 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 230, 575, 325 Calculator

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

Online GCD Calculator is useful to find the GCD of 230, 575, 325 quickly. Get the easiest ways to solve the greatest common divisor of 230, 575, 325 i.e 5 in different methods as follows.

How to Find GCD of Numbers 230, 575, 325 with Factoring?

Given Input numbers are 230, 575, 325

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

Divisors of 230 :

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

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

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

GCD of numbers is the greatest common divisor

So, the GCD (230, 575, 325) = 5.

Find GCD of 230, 575, 325 using Prime Factorization

Given numbers are 230, 575, 325

The list of prime factors of all numbers are

Prime factors of 230 are 2 x 5 x 23

Prime factors of 575 are 5 x 5 x 23

Prime factors of 325 are 5 x 5 x 13

The highest common occurrence is 5¹

Therefore, GCD of 230, 575, 325 is 5.

Steps to Calculate GCD of 230, 575, 325 using LCM Formula

Given numbers are 230, 575, 325

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

Apply this formula for all numbers.

Step1:

LCM(230, 575) = 1150

GCD(230, 575) = ( 230 x 575 ) / 1150

= 230 / 575

= 230

Step2:

LCM(115, 325) = 7475

GCD(115, 325) = ( 115 x 325 ) / 7475

= 115 / 325

= 115

So, Greatest Common Divisor of 230, 575, 325 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 230, 575, 325

Given numbers are 230, 575, 325
The greatest common divisor of numbers 230, 575, 325 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 230, 575, 325 is 5.

FAQs on GCD of 230, 575, 325 Calculator

1. What is the GCD of 230, 575, 325?

GCD of given numbers 230, 575, 325 is 5

2. How to calculate the greatest common divisor of 230, 575, 325?

We can find the highest common divisor of 230, 575, 325 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 230, 575, 325 i.e 5.

3. How can I use the GCD of 230, 575, 325Calculator?

Out the numbers 230, 575, 325 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.