Where do I get the detailed procedure to find GCD of 725, 865, 215?

You can find a detailed procedure to find GCD of 725, 865, 215 on our page.

How to find GCD of 725, 865, 215 on a calculator?

You can find the GCD of 725, 865, 215 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 725, 865, 215 Calculator

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

Online GCD Calculator is useful to find the GCD of 725, 865, 215 quickly. Get the easiest ways to solve the greatest common divisor of 725, 865, 215 i.e 5 in different methods as follows.

How to Find GCD of Numbers 725, 865, 215 with Factoring?

Given Input numbers are 725, 865, 215

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

GCD of numbers is the greatest common divisor

So, the GCD (725, 865, 215) = 5.

Find GCD of 725, 865, 215 using Prime Factorization

Given numbers are 725, 865, 215

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 865 are 5 x 173

Prime factors of 215 are 5 x 43

The highest common occurrence is 5¹

Therefore, GCD of 725, 865, 215 is 5.

Steps to Calculate GCD of 725, 865, 215 using LCM Formula

Given numbers are 725, 865, 215

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

Apply this formula for all numbers.

Step1:

LCM(725, 865) = 125425

GCD(725, 865) = ( 725 x 865 ) / 125425

= 725 / 865

= 725

Step2:

LCM(5, 215) = 215

GCD(5, 215) = ( 5 x 215 ) / 215

= 5 / 215

= 5

So, Greatest Common Divisor of 725, 865, 215 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 725, 865, 215

Given numbers are 725, 865, 215
The greatest common divisor of numbers 725, 865, 215 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 865, 215 is 5.

FAQs on GCD of 725, 865, 215 Calculator

1. What is the GCD of 725, 865, 215?

GCD of given numbers 725, 865, 215 is 5

2. How to calculate the greatest common divisor of 725, 865, 215?

We can find the highest common divisor of 725, 865, 215 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 725, 865, 215 i.e 5.

3. How can I use the GCD of 725, 865, 215Calculator?

Out the numbers 725, 865, 215 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.