Where do I get the detailed procedure to find GCD of 465, 189, 921?

You can find a detailed procedure to find GCD of 465, 189, 921 on our page.

How to find GCD of 465, 189, 921 on a calculator?

You can find the GCD of 465, 189, 921 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 465, 189, 921 Calculator

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

Online GCD Calculator is useful to find the GCD of 465, 189, 921 quickly. Get the easiest ways to solve the greatest common divisor of 465, 189, 921 i.e 3 in different methods as follows.

How to Find GCD of Numbers 465, 189, 921 with Factoring?

Given Input numbers are 465, 189, 921

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (465, 189, 921) = 3.

Find GCD of 465, 189, 921 using Prime Factorization

Given numbers are 465, 189, 921

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 921 are 3 x 307

The highest common occurrence is 3¹

Therefore, GCD of 465, 189, 921 is 3.

Steps to Calculate GCD of 465, 189, 921 using LCM Formula

Given numbers are 465, 189, 921

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

Apply this formula for all numbers.

Step1:

LCM(465, 189) = 29295

GCD(465, 189) = ( 465 x 189 ) / 29295

= 465 / 189

= 465

Step2:

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

= 3 / 921

= 3

So, Greatest Common Divisor of 465, 189, 921 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 465, 189, 921

Given numbers are 465, 189, 921
The greatest common divisor of numbers 465, 189, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 189, 921 is 3.

FAQs on GCD of 465, 189, 921 Calculator

1. What is the GCD of 465, 189, 921?

GCD of given numbers 465, 189, 921 is 3

2. How to calculate the greatest common divisor of 465, 189, 921?

We can find the highest common divisor of 465, 189, 921 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 465, 189, 921 i.e 3.

3. How can I use the GCD of 465, 189, 921Calculator?

Out the numbers 465, 189, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.