Where do I get the detailed procedure to find GCD of 106, 200, 842?

You can find a detailed procedure to find GCD of 106, 200, 842 on our page.

How to find GCD of 106, 200, 842 on a calculator?

You can find the GCD of 106, 200, 842 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 106, 200, 842 Calculator

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

Online GCD Calculator is useful to find the GCD of 106, 200, 842 quickly. Get the easiest ways to solve the greatest common divisor of 106, 200, 842 i.e 2 in different methods as follows.

How to Find GCD of Numbers 106, 200, 842 with Factoring?

Given Input numbers are 106, 200, 842

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

Divisors of 106 :

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

1, 2, 53, 106

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 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (106, 200, 842) = 2.

Find GCD of 106, 200, 842 using Prime Factorization

Given numbers are 106, 200, 842

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

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

Prime factors of 842 are 2 x 421

The highest common occurrence is 2¹

Therefore, GCD of 106, 200, 842 is 2.

Steps to Calculate GCD of 106, 200, 842 using LCM Formula

Given numbers are 106, 200, 842

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

Apply this formula for all numbers.

Step1:

LCM(106, 200) = 10600

GCD(106, 200) = ( 106 x 200 ) / 10600

= 106 / 200

= 106

Step2:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

So, Greatest Common Divisor of 106, 200, 842 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 106, 200, 842

Given numbers are 106, 200, 842
The greatest common divisor of numbers 106, 200, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 200, 842 is 2.

FAQs on GCD of 106, 200, 842 Calculator

1. What is the GCD of 106, 200, 842?

GCD of given numbers 106, 200, 842 is 2

2. How to calculate the greatest common divisor of 106, 200, 842?

We can find the highest common divisor of 106, 200, 842 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 106, 200, 842 i.e 2.

3. How can I use the GCD of 106, 200, 842Calculator?

Out the numbers 106, 200, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.