Where do I get the detailed procedure to find GCD of 825, 230, 565?

You can find a detailed procedure to find GCD of 825, 230, 565 on our page.

How to find GCD of 825, 230, 565 on a calculator?

You can find the GCD of 825, 230, 565 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 825, 230, 565 Calculator

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

Online GCD Calculator is useful to find the GCD of 825, 230, 565 quickly. Get the easiest ways to solve the greatest common divisor of 825, 230, 565 i.e 5 in different methods as follows.

How to Find GCD of Numbers 825, 230, 565 with Factoring?

Given Input numbers are 825, 230, 565

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 230 :

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

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

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

GCD of numbers is the greatest common divisor

So, the GCD (825, 230, 565) = 5.

Find GCD of 825, 230, 565 using Prime Factorization

Given numbers are 825, 230, 565

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 230 are 2 x 5 x 23

Prime factors of 565 are 5 x 113

The highest common occurrence is 5¹

Therefore, GCD of 825, 230, 565 is 5.

Steps to Calculate GCD of 825, 230, 565 using LCM Formula

Given numbers are 825, 230, 565

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

Apply this formula for all numbers.

Step1:

LCM(825, 230) = 37950

GCD(825, 230) = ( 825 x 230 ) / 37950

= 825 / 230

= 825

Step2:

LCM(5, 565) = 565

GCD(5, 565) = ( 5 x 565 ) / 565

= 5 / 565

= 5

So, Greatest Common Divisor of 825, 230, 565 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 825, 230, 565

Given numbers are 825, 230, 565
The greatest common divisor of numbers 825, 230, 565 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 230, 565 is 5.

FAQs on GCD of 825, 230, 565 Calculator

1. What is the GCD of 825, 230, 565?

GCD of given numbers 825, 230, 565 is 5

2. How to calculate the greatest common divisor of 825, 230, 565?

We can find the highest common divisor of 825, 230, 565 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 825, 230, 565 i.e 5.

3. How can I use the GCD of 825, 230, 565Calculator?

Out the numbers 825, 230, 565 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.