Where do I get the detailed procedure to find GCD of 225, 714, 162?

You can find a detailed procedure to find GCD of 225, 714, 162 on our page.

How to find GCD of 225, 714, 162 on a calculator?

You can find the GCD of 225, 714, 162 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 225, 714, 162 Calculator

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

Online GCD Calculator is useful to find the GCD of 225, 714, 162 quickly. Get the easiest ways to solve the greatest common divisor of 225, 714, 162 i.e 3 in different methods as follows.

How to Find GCD of Numbers 225, 714, 162 with Factoring?

Given Input numbers are 225, 714, 162

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

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (225, 714, 162) = 3.

Find GCD of 225, 714, 162 using Prime Factorization

Given numbers are 225, 714, 162

The list of prime factors of all numbers are

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

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 225, 714, 162 is 3.

Steps to Calculate GCD of 225, 714, 162 using LCM Formula

Given numbers are 225, 714, 162

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

Apply this formula for all numbers.

Step1:

LCM(225, 714) = 53550

GCD(225, 714) = ( 225 x 714 ) / 53550

= 225 / 714

= 225

Step2:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

So, Greatest Common Divisor of 225, 714, 162 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 225, 714, 162

Given numbers are 225, 714, 162
The greatest common divisor of numbers 225, 714, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 714, 162 is 3.

FAQs on GCD of 225, 714, 162 Calculator

1. What is the GCD of 225, 714, 162?

GCD of given numbers 225, 714, 162 is 3

2. How to calculate the greatest common divisor of 225, 714, 162?

We can find the highest common divisor of 225, 714, 162 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 225, 714, 162 i.e 3.

3. How can I use the GCD of 225, 714, 162Calculator?

Out the numbers 225, 714, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.