Where do I get the detailed procedure to find GCD of 345, 225, 500?

You can find a detailed procedure to find GCD of 345, 225, 500 on our page.

How to find GCD of 345, 225, 500 on a calculator?

You can find the GCD of 345, 225, 500 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 345, 225, 500 Calculator

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

Online GCD Calculator is useful to find the GCD of 345, 225, 500 quickly. Get the easiest ways to solve the greatest common divisor of 345, 225, 500 i.e 5 in different methods as follows.

How to Find GCD of Numbers 345, 225, 500 with Factoring?

Given Input numbers are 345, 225, 500

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (345, 225, 500) = 5.

Find GCD of 345, 225, 500 using Prime Factorization

Given numbers are 345, 225, 500

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

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

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 345, 225, 500 is 5.

Steps to Calculate GCD of 345, 225, 500 using LCM Formula

Given numbers are 345, 225, 500

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

Apply this formula for all numbers.

Step1:

LCM(345, 225) = 5175

GCD(345, 225) = ( 345 x 225 ) / 5175

= 345 / 225

= 345

Step2:

LCM(15, 500) = 1500

GCD(15, 500) = ( 15 x 500 ) / 1500

= 15 / 500

= 15

So, Greatest Common Divisor of 345, 225, 500 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 345, 225, 500

Given numbers are 345, 225, 500
The greatest common divisor of numbers 345, 225, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 225, 500 is 5.

FAQs on GCD of 345, 225, 500 Calculator

1. What is the GCD of 345, 225, 500?

GCD of given numbers 345, 225, 500 is 5

2. How to calculate the greatest common divisor of 345, 225, 500?

We can find the highest common divisor of 345, 225, 500 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 345, 225, 500 i.e 5.

3. How can I use the GCD of 345, 225, 500Calculator?

Out the numbers 345, 225, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.