Where do I get the detailed procedure to find GCD of 531, 225, 117?

You can find a detailed procedure to find GCD of 531, 225, 117 on our page.

How to find GCD of 531, 225, 117 on a calculator?

You can find the GCD of 531, 225, 117 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 531, 225, 117 Calculator

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

Online GCD Calculator is useful to find the GCD of 531, 225, 117 quickly. Get the easiest ways to solve the greatest common divisor of 531, 225, 117 i.e 9 in different methods as follows.

How to Find GCD of Numbers 531, 225, 117 with Factoring?

Given Input numbers are 531, 225, 117

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

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

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 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (531, 225, 117) = 9.

Find GCD of 531, 225, 117 using Prime Factorization

Given numbers are 531, 225, 117

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

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

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3²

Therefore, GCD of 531, 225, 117 is 9.

Steps to Calculate GCD of 531, 225, 117 using LCM Formula

Given numbers are 531, 225, 117

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

Apply this formula for all numbers.

Step1:

LCM(531, 225) = 13275

GCD(531, 225) = ( 531 x 225 ) / 13275

= 531 / 225

= 531

Step2:

LCM(9, 117) = 117

GCD(9, 117) = ( 9 x 117 ) / 117

= 9 / 117

= 9

So, Greatest Common Divisor of 531, 225, 117 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 531, 225, 117

Given numbers are 531, 225, 117
The greatest common divisor of numbers 531, 225, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 225, 117 is 9.

FAQs on GCD of 531, 225, 117 Calculator

1. What is the GCD of 531, 225, 117?

GCD of given numbers 531, 225, 117 is 9

2. How to calculate the greatest common divisor of 531, 225, 117?

We can find the highest common divisor of 531, 225, 117 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 531, 225, 117 i.e 9.

3. How can I use the GCD of 531, 225, 117Calculator?

Out the numbers 531, 225, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.