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GCD of 636, 842, 18, 406 Calculator

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


Online GCD Calculator is useful to find the GCD of 636, 842, 18, 406 quickly. Get the easiest ways to solve the greatest common divisor of 636, 842, 18, 406 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 636, 842, 18, 406 with Factoring?

Given Input numbers are 636, 842, 18, 406

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

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 842 :

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

1, 2, 421, 842

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406


GCD of numbers is the greatest common divisor

So, the GCD (636, 842, 18, 406) = 2.

Find GCD of 636, 842, 18, 406 using Prime Factorization

Given numbers are 636, 842, 18, 406

The list of prime factors of all numbers are

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 842 are 2 x 421

Prime factors of 18 are 2 x 3 x 3

Prime factors of 406 are 2 x 7 x 29

The highest common occurrence is 21

Therefore, GCD of 636, 842, 18, 406 is 2.

Steps to Calculate GCD of 636, 842, 18, 406 using LCM Formula

Given numbers are 636, 842, 18, 406

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

Apply this formula for all numbers.

Step1:

LCM(636, 842) = 267756

GCD(636, 842) = ( 636 x 842 ) / 267756

= 636 / 842

= 636


Step2:

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

= 2 / 18

= 2


Step3:

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

= 2 / 406

= 2


So, Greatest Common Divisor of 636, 842, 18, 406 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 636, 842, 18, 406

Given numbers are 636, 842, 18, 406
The greatest common divisor of numbers 636, 842, 18, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 842, 18, 406 is 2.

FAQs on GCD of 636, 842, 18, 406 Calculator

1. What is the GCD of 636, 842, 18, 406?

GCD of given numbers 636, 842, 18, 406 is 2


2. How to calculate the greatest common divisor of 636, 842, 18, 406?

We can find the highest common divisor of 636, 842, 18, 406 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 636, 842, 18, 406 i.e 2.


3. How can I use the GCD of 636, 842, 18, 406Calculator?

Out the numbers 636, 842, 18, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.