Where do I get the detailed procedure to find GCD of 969, 225, 234?

You can find a detailed procedure to find GCD of 969, 225, 234 on our page.

How to find GCD of 969, 225, 234 on a calculator?

You can find the GCD of 969, 225, 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 969, 225, 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 969, 225, 234 quickly. Get the easiest ways to solve the greatest common divisor of 969, 225, 234 i.e 3 in different methods as follows.

How to Find GCD of Numbers 969, 225, 234 with Factoring?

Given Input numbers are 969, 225, 234

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

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 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 (969, 225, 234) = 3.

Find GCD of 969, 225, 234 using Prime Factorization

Given numbers are 969, 225, 234

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 225 are 3 x 3 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 969, 225, 234 is 3.

Steps to Calculate GCD of 969, 225, 234 using LCM Formula

Given numbers are 969, 225, 234

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

Apply this formula for all numbers.

Step1:

LCM(969, 225) = 72675

GCD(969, 225) = ( 969 x 225 ) / 72675

= 969 / 225

= 969

Step2:

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

= 3 / 234

= 3

So, Greatest Common Divisor of 969, 225, 234 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 969, 225, 234

Given numbers are 969, 225, 234
The greatest common divisor of numbers 969, 225, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 225, 234 is 3.

FAQs on GCD of 969, 225, 234 Calculator

1. What is the GCD of 969, 225, 234?

GCD of given numbers 969, 225, 234 is 3

2. How to calculate the greatest common divisor of 969, 225, 234?

We can find the highest common divisor of 969, 225, 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 969, 225, 234 i.e 3.

3. How can I use the GCD of 969, 225, 234Calculator?

Out the numbers 969, 225, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.