Where do I get the detailed procedure to find GCD of 482, 300, 106?

You can find a detailed procedure to find GCD of 482, 300, 106 on our page.

How to find GCD of 482, 300, 106 on a calculator?

You can find the GCD of 482, 300, 106 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 482, 300, 106 Calculator

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

Online GCD Calculator is useful to find the GCD of 482, 300, 106 quickly. Get the easiest ways to solve the greatest common divisor of 482, 300, 106 i.e 2 in different methods as follows.

How to Find GCD of Numbers 482, 300, 106 with Factoring?

Given Input numbers are 482, 300, 106

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

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (482, 300, 106) = 2.

Find GCD of 482, 300, 106 using Prime Factorization

Given numbers are 482, 300, 106

The list of prime factors of all numbers are

Prime factors of 482 are 2 x 241

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 106 are 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 482, 300, 106 is 2.

Steps to Calculate GCD of 482, 300, 106 using LCM Formula

Given numbers are 482, 300, 106

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

Apply this formula for all numbers.

Step1:

LCM(482, 300) = 72300

GCD(482, 300) = ( 482 x 300 ) / 72300

= 482 / 300

= 482

Step2:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

So, Greatest Common Divisor of 482, 300, 106 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 482, 300, 106

Given numbers are 482, 300, 106
The greatest common divisor of numbers 482, 300, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 482, 300, 106 is 2.

FAQs on GCD of 482, 300, 106 Calculator

1. What is the GCD of 482, 300, 106?

GCD of given numbers 482, 300, 106 is 2

2. How to calculate the greatest common divisor of 482, 300, 106?

We can find the highest common divisor of 482, 300, 106 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 482, 300, 106 i.e 2.

3. How can I use the GCD of 482, 300, 106Calculator?

Out the numbers 482, 300, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.