Where do I get the detailed procedure to find GCD of 108, 315, 507?

You can find a detailed procedure to find GCD of 108, 315, 507 on our page.

How to find GCD of 108, 315, 507 on a calculator?

You can find the GCD of 108, 315, 507 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 108, 315, 507 Calculator

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

Online GCD Calculator is useful to find the GCD of 108, 315, 507 quickly. Get the easiest ways to solve the greatest common divisor of 108, 315, 507 i.e 3 in different methods as follows.

How to Find GCD of Numbers 108, 315, 507 with Factoring?

Given Input numbers are 108, 315, 507

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

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (108, 315, 507) = 3.

Find GCD of 108, 315, 507 using Prime Factorization

Given numbers are 108, 315, 507

The list of prime factors of all numbers are

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

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 3¹

Therefore, GCD of 108, 315, 507 is 3.

Steps to Calculate GCD of 108, 315, 507 using LCM Formula

Given numbers are 108, 315, 507

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

Apply this formula for all numbers.

Step1:

LCM(108, 315) = 3780

GCD(108, 315) = ( 108 x 315 ) / 3780

= 108 / 315

= 108

Step2:

LCM(9, 507) = 1521

GCD(9, 507) = ( 9 x 507 ) / 1521

= 9 / 507

= 9

So, Greatest Common Divisor of 108, 315, 507 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 108, 315, 507

Given numbers are 108, 315, 507
The greatest common divisor of numbers 108, 315, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 315, 507 is 3.

FAQs on GCD of 108, 315, 507 Calculator

1. What is the GCD of 108, 315, 507?

GCD of given numbers 108, 315, 507 is 3

2. How to calculate the greatest common divisor of 108, 315, 507?

We can find the highest common divisor of 108, 315, 507 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 108, 315, 507 i.e 3.

3. How can I use the GCD of 108, 315, 507Calculator?

Out the numbers 108, 315, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.