Where do I get the detailed procedure to find GCD of 225, 705, 620?

You can find a detailed procedure to find GCD of 225, 705, 620 on our page.

How to find GCD of 225, 705, 620 on a calculator?

You can find the GCD of 225, 705, 620 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, 705, 620 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, 705, 620 quickly. Get the easiest ways to solve the greatest common divisor of 225, 705, 620 i.e 5 in different methods as follows.

How to Find GCD of Numbers 225, 705, 620 with Factoring?

Given Input numbers are 225, 705, 620

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

GCD of numbers is the greatest common divisor

So, the GCD (225, 705, 620) = 5.

Find GCD of 225, 705, 620 using Prime Factorization

Given numbers are 225, 705, 620

The list of prime factors of all numbers are

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

Prime factors of 705 are 3 x 5 x 47

Prime factors of 620 are 2 x 2 x 5 x 31

The highest common occurrence is 5¹

Therefore, GCD of 225, 705, 620 is 5.

Steps to Calculate GCD of 225, 705, 620 using LCM Formula

Given numbers are 225, 705, 620

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

Apply this formula for all numbers.

Step1:

LCM(225, 705) = 10575

GCD(225, 705) = ( 225 x 705 ) / 10575

= 225 / 705

= 225

Step2:

LCM(15, 620) = 1860

GCD(15, 620) = ( 15 x 620 ) / 1860

= 15 / 620

= 15

So, Greatest Common Divisor of 225, 705, 620 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 225, 705, 620

Given numbers are 225, 705, 620
The greatest common divisor of numbers 225, 705, 620 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 705, 620 is 5.

FAQs on GCD of 225, 705, 620 Calculator

1. What is the GCD of 225, 705, 620?

GCD of given numbers 225, 705, 620 is 5

2. How to calculate the greatest common divisor of 225, 705, 620?

We can find the highest common divisor of 225, 705, 620 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, 705, 620 i.e 5.

3. How can I use the GCD of 225, 705, 620Calculator?

Out the numbers 225, 705, 620 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.