Where do I get the detailed procedure to find GCD of 225, 945, 498?

You can find a detailed procedure to find GCD of 225, 945, 498 on our page.

How to find GCD of 225, 945, 498 on a calculator?

You can find the GCD of 225, 945, 498 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, 945, 498 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, 945, 498 quickly. Get the easiest ways to solve the greatest common divisor of 225, 945, 498 i.e 3 in different methods as follows.

How to Find GCD of Numbers 225, 945, 498 with Factoring?

Given Input numbers are 225, 945, 498

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (225, 945, 498) = 3.

Find GCD of 225, 945, 498 using Prime Factorization

Given numbers are 225, 945, 498

The list of prime factors of all numbers are

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

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 225, 945, 498 is 3.

Steps to Calculate GCD of 225, 945, 498 using LCM Formula

Given numbers are 225, 945, 498

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

Apply this formula for all numbers.

Step1:

LCM(225, 945) = 4725

GCD(225, 945) = ( 225 x 945 ) / 4725

= 225 / 945

= 225

Step2:

LCM(45, 498) = 7470

GCD(45, 498) = ( 45 x 498 ) / 7470

= 45 / 498

= 45

So, Greatest Common Divisor of 225, 945, 498 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 225, 945, 498

Given numbers are 225, 945, 498
The greatest common divisor of numbers 225, 945, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 945, 498 is 3.

FAQs on GCD of 225, 945, 498 Calculator

1. What is the GCD of 225, 945, 498?

GCD of given numbers 225, 945, 498 is 3

2. How to calculate the greatest common divisor of 225, 945, 498?

We can find the highest common divisor of 225, 945, 498 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, 945, 498 i.e 3.

3. How can I use the GCD of 225, 945, 498Calculator?

Out the numbers 225, 945, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.