Where do I get the detailed procedure to find GCD of 504, 200, 108?

You can find a detailed procedure to find GCD of 504, 200, 108 on our page.

How to find GCD of 504, 200, 108 on a calculator?

You can find the GCD of 504, 200, 108 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 504, 200, 108 Calculator

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

Online GCD Calculator is useful to find the GCD of 504, 200, 108 quickly. Get the easiest ways to solve the greatest common divisor of 504, 200, 108 i.e 4 in different methods as follows.

How to Find GCD of Numbers 504, 200, 108 with Factoring?

Given Input numbers are 504, 200, 108

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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

GCD of numbers is the greatest common divisor

So, the GCD (504, 200, 108) = 4.

Find GCD of 504, 200, 108 using Prime Factorization

Given numbers are 504, 200, 108

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

The highest common occurrence is 2²

Therefore, GCD of 504, 200, 108 is 4.

Steps to Calculate GCD of 504, 200, 108 using LCM Formula

Given numbers are 504, 200, 108

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

Apply this formula for all numbers.

Step1:

LCM(504, 200) = 12600

GCD(504, 200) = ( 504 x 200 ) / 12600

= 504 / 200

= 504

Step2:

LCM(8, 108) = 216

GCD(8, 108) = ( 8 x 108 ) / 216

= 8 / 108

= 8

So, Greatest Common Divisor of 504, 200, 108 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 504, 200, 108

Given numbers are 504, 200, 108
The greatest common divisor of numbers 504, 200, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 200, 108 is 4.

FAQs on GCD of 504, 200, 108 Calculator

1. What is the GCD of 504, 200, 108?

GCD of given numbers 504, 200, 108 is 4

2. How to calculate the greatest common divisor of 504, 200, 108?

We can find the highest common divisor of 504, 200, 108 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 504, 200, 108 i.e 4.

3. How can I use the GCD of 504, 200, 108Calculator?

Out the numbers 504, 200, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.