Where do I get the detailed procedure to find GCD of 330, 870, 506?

You can find a detailed procedure to find GCD of 330, 870, 506 on our page.

How to find GCD of 330, 870, 506 on a calculator?

You can find the GCD of 330, 870, 506 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 330, 870, 506 Calculator

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

Online GCD Calculator is useful to find the GCD of 330, 870, 506 quickly. Get the easiest ways to solve the greatest common divisor of 330, 870, 506 i.e 2 in different methods as follows.

How to Find GCD of Numbers 330, 870, 506 with Factoring?

Given Input numbers are 330, 870, 506

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

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (330, 870, 506) = 2.

Find GCD of 330, 870, 506 using Prime Factorization

Given numbers are 330, 870, 506

The list of prime factors of all numbers are

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 330, 870, 506 is 2.

Steps to Calculate GCD of 330, 870, 506 using LCM Formula

Given numbers are 330, 870, 506

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

Apply this formula for all numbers.

Step1:

LCM(330, 870) = 9570

GCD(330, 870) = ( 330 x 870 ) / 9570

= 330 / 870

= 330

Step2:

LCM(30, 506) = 7590

GCD(30, 506) = ( 30 x 506 ) / 7590

= 30 / 506

= 30

So, Greatest Common Divisor of 330, 870, 506 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 330, 870, 506

Given numbers are 330, 870, 506
The greatest common divisor of numbers 330, 870, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 870, 506 is 2.

FAQs on GCD of 330, 870, 506 Calculator

1. What is the GCD of 330, 870, 506?

GCD of given numbers 330, 870, 506 is 2

2. How to calculate the greatest common divisor of 330, 870, 506?

We can find the highest common divisor of 330, 870, 506 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 330, 870, 506 i.e 2.

3. How can I use the GCD of 330, 870, 506Calculator?

Out the numbers 330, 870, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.