Where do I get the detailed procedure to find GCD of 484, 100, 872?

You can find a detailed procedure to find GCD of 484, 100, 872 on our page.

How to find GCD of 484, 100, 872 on a calculator?

You can find the GCD of 484, 100, 872 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 484, 100, 872 Calculator

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

Online GCD Calculator is useful to find the GCD of 484, 100, 872 quickly. Get the easiest ways to solve the greatest common divisor of 484, 100, 872 i.e 4 in different methods as follows.

How to Find GCD of Numbers 484, 100, 872 with Factoring?

Given Input numbers are 484, 100, 872

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (484, 100, 872) = 4.

Find GCD of 484, 100, 872 using Prime Factorization

Given numbers are 484, 100, 872

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2²

Therefore, GCD of 484, 100, 872 is 4.

Steps to Calculate GCD of 484, 100, 872 using LCM Formula

Given numbers are 484, 100, 872

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

Apply this formula for all numbers.

Step1:

LCM(484, 100) = 12100

GCD(484, 100) = ( 484 x 100 ) / 12100

= 484 / 100

= 484

Step2:

LCM(4, 872) = 872

GCD(4, 872) = ( 4 x 872 ) / 872

= 4 / 872

= 4

So, Greatest Common Divisor of 484, 100, 872 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 484, 100, 872

Given numbers are 484, 100, 872
The greatest common divisor of numbers 484, 100, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 100, 872 is 4.

FAQs on GCD of 484, 100, 872 Calculator

1. What is the GCD of 484, 100, 872?

GCD of given numbers 484, 100, 872 is 4

2. How to calculate the greatest common divisor of 484, 100, 872?

We can find the highest common divisor of 484, 100, 872 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 484, 100, 872 i.e 4.

3. How can I use the GCD of 484, 100, 872Calculator?

Out the numbers 484, 100, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.