Where do I get the detailed procedure to find GCD of 363, 108, 510?

You can find a detailed procedure to find GCD of 363, 108, 510 on our page.

How to find GCD of 363, 108, 510 on a calculator?

You can find the GCD of 363, 108, 510 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 363, 108, 510 Calculator

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

Online GCD Calculator is useful to find the GCD of 363, 108, 510 quickly. Get the easiest ways to solve the greatest common divisor of 363, 108, 510 i.e 3 in different methods as follows.

How to Find GCD of Numbers 363, 108, 510 with Factoring?

Given Input numbers are 363, 108, 510

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (363, 108, 510) = 3.

Find GCD of 363, 108, 510 using Prime Factorization

Given numbers are 363, 108, 510

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 3¹

Therefore, GCD of 363, 108, 510 is 3.

Steps to Calculate GCD of 363, 108, 510 using LCM Formula

Given numbers are 363, 108, 510

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

Apply this formula for all numbers.

Step1:

LCM(363, 108) = 13068

GCD(363, 108) = ( 363 x 108 ) / 13068

= 363 / 108

= 363

Step2:

LCM(3, 510) = 510

GCD(3, 510) = ( 3 x 510 ) / 510

= 3 / 510

= 3

So, Greatest Common Divisor of 363, 108, 510 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 363, 108, 510

Given numbers are 363, 108, 510
The greatest common divisor of numbers 363, 108, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 108, 510 is 3.

FAQs on GCD of 363, 108, 510 Calculator

1. What is the GCD of 363, 108, 510?

GCD of given numbers 363, 108, 510 is 3

2. How to calculate the greatest common divisor of 363, 108, 510?

We can find the highest common divisor of 363, 108, 510 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 363, 108, 510 i.e 3.

3. How can I use the GCD of 363, 108, 510Calculator?

Out the numbers 363, 108, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.