Where do I get the detailed procedure to find GCD of 810, 225, 105?

You can find a detailed procedure to find GCD of 810, 225, 105 on our page.

How to find GCD of 810, 225, 105 on a calculator?

You can find the GCD of 810, 225, 105 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 810, 225, 105 Calculator

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

Online GCD Calculator is useful to find the GCD of 810, 225, 105 quickly. Get the easiest ways to solve the greatest common divisor of 810, 225, 105 i.e 15 in different methods as follows.

How to Find GCD of Numbers 810, 225, 105 with Factoring?

Given Input numbers are 810, 225, 105

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

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (810, 225, 105) = 15.

Find GCD of 810, 225, 105 using Prime Factorization

Given numbers are 810, 225, 105

The list of prime factors of all numbers are

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 810, 225, 105 is 15.

Steps to Calculate GCD of 810, 225, 105 using LCM Formula

Given numbers are 810, 225, 105

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

Apply this formula for all numbers.

Step1:

LCM(810, 225) = 4050

GCD(810, 225) = ( 810 x 225 ) / 4050

= 810 / 225

= 810

Step2:

LCM(45, 105) = 315

GCD(45, 105) = ( 45 x 105 ) / 315

= 45 / 105

= 45

So, Greatest Common Divisor of 810, 225, 105 is 15

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 810, 225, 105

Given numbers are 810, 225, 105
The greatest common divisor of numbers 810, 225, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 225, 105 is 15.

FAQs on GCD of 810, 225, 105 Calculator

1. What is the GCD of 810, 225, 105?

GCD of given numbers 810, 225, 105 is 15

2. How to calculate the greatest common divisor of 810, 225, 105?

We can find the highest common divisor of 810, 225, 105 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 810, 225, 105 i.e 15.

3. How can I use the GCD of 810, 225, 105Calculator?

Out the numbers 810, 225, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.