Where do I get the detailed procedure to find GCD of 465, 225, 627?

You can find a detailed procedure to find GCD of 465, 225, 627 on our page.

How to find GCD of 465, 225, 627 on a calculator?

You can find the GCD of 465, 225, 627 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 465, 225, 627 Calculator

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

Online GCD Calculator is useful to find the GCD of 465, 225, 627 quickly. Get the easiest ways to solve the greatest common divisor of 465, 225, 627 i.e 3 in different methods as follows.

How to Find GCD of Numbers 465, 225, 627 with Factoring?

Given Input numbers are 465, 225, 627

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

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 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

GCD of numbers is the greatest common divisor

So, the GCD (465, 225, 627) = 3.

Find GCD of 465, 225, 627 using Prime Factorization

Given numbers are 465, 225, 627

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

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

Prime factors of 627 are 3 x 11 x 19

The highest common occurrence is 3¹

Therefore, GCD of 465, 225, 627 is 3.

Steps to Calculate GCD of 465, 225, 627 using LCM Formula

Given numbers are 465, 225, 627

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

Apply this formula for all numbers.

Step1:

LCM(465, 225) = 6975

GCD(465, 225) = ( 465 x 225 ) / 6975

= 465 / 225

= 465

Step2:

LCM(15, 627) = 3135

GCD(15, 627) = ( 15 x 627 ) / 3135

= 15 / 627

= 15

So, Greatest Common Divisor of 465, 225, 627 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 465, 225, 627

Given numbers are 465, 225, 627
The greatest common divisor of numbers 465, 225, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 225, 627 is 3.

FAQs on GCD of 465, 225, 627 Calculator

1. What is the GCD of 465, 225, 627?

GCD of given numbers 465, 225, 627 is 3

2. How to calculate the greatest common divisor of 465, 225, 627?

We can find the highest common divisor of 465, 225, 627 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 465, 225, 627 i.e 3.

3. How can I use the GCD of 465, 225, 627Calculator?

Out the numbers 465, 225, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.