Where do I get the detailed procedure to find GCD of 195, 375, 234?

You can find a detailed procedure to find GCD of 195, 375, 234 on our page.

How to find GCD of 195, 375, 234 on a calculator?

You can find the GCD of 195, 375, 234 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 195, 375, 234 Calculator

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

Online GCD Calculator is useful to find the GCD of 195, 375, 234 quickly. Get the easiest ways to solve the greatest common divisor of 195, 375, 234 i.e 3 in different methods as follows.

How to Find GCD of Numbers 195, 375, 234 with Factoring?

Given Input numbers are 195, 375, 234

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (195, 375, 234) = 3.

Find GCD of 195, 375, 234 using Prime Factorization

Given numbers are 195, 375, 234

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 195, 375, 234 is 3.

Steps to Calculate GCD of 195, 375, 234 using LCM Formula

Given numbers are 195, 375, 234

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

Apply this formula for all numbers.

Step1:

LCM(195, 375) = 4875

GCD(195, 375) = ( 195 x 375 ) / 4875

= 195 / 375

= 195

Step2:

LCM(15, 234) = 1170

GCD(15, 234) = ( 15 x 234 ) / 1170

= 15 / 234

= 15

So, Greatest Common Divisor of 195, 375, 234 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 195, 375, 234

Given numbers are 195, 375, 234
The greatest common divisor of numbers 195, 375, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 375, 234 is 3.

FAQs on GCD of 195, 375, 234 Calculator

1. What is the GCD of 195, 375, 234?

GCD of given numbers 195, 375, 234 is 3

2. How to calculate the greatest common divisor of 195, 375, 234?

We can find the highest common divisor of 195, 375, 234 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 195, 375, 234 i.e 3.

3. How can I use the GCD of 195, 375, 234Calculator?

Out the numbers 195, 375, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.