Where do I get the detailed procedure to find GCD of 225, 970, 625?

You can find a detailed procedure to find GCD of 225, 970, 625 on our page.

How to find GCD of 225, 970, 625 on a calculator?

You can find the GCD of 225, 970, 625 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, 970, 625 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, 970, 625 quickly. Get the easiest ways to solve the greatest common divisor of 225, 970, 625 i.e 5 in different methods as follows.

How to Find GCD of Numbers 225, 970, 625 with Factoring?

Given Input numbers are 225, 970, 625

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 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

GCD of numbers is the greatest common divisor

So, the GCD (225, 970, 625) = 5.

Find GCD of 225, 970, 625 using Prime Factorization

Given numbers are 225, 970, 625

The list of prime factors of all numbers are

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

Prime factors of 970 are 2 x 5 x 97

Prime factors of 625 are 5 x 5 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 225, 970, 625 is 5.

Steps to Calculate GCD of 225, 970, 625 using LCM Formula

Given numbers are 225, 970, 625

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

Apply this formula for all numbers.

Step1:

LCM(225, 970) = 43650

GCD(225, 970) = ( 225 x 970 ) / 43650

= 225 / 970

= 225

Step2:

LCM(5, 625) = 625

GCD(5, 625) = ( 5 x 625 ) / 625

= 5 / 625

= 5

So, Greatest Common Divisor of 225, 970, 625 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 225, 970, 625

Given numbers are 225, 970, 625
The greatest common divisor of numbers 225, 970, 625 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 970, 625 is 5.

FAQs on GCD of 225, 970, 625 Calculator

1. What is the GCD of 225, 970, 625?

GCD of given numbers 225, 970, 625 is 5

2. How to calculate the greatest common divisor of 225, 970, 625?

We can find the highest common divisor of 225, 970, 625 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, 970, 625 i.e 5.

3. How can I use the GCD of 225, 970, 625Calculator?

Out the numbers 225, 970, 625 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.