GCD of 666, 956, 42, 636 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 666, 956, 42, 636 i.e. 2 largest integer that divides all the numbers equally.

GCD of 666, 956, 42, 636 is 2

GCD(666, 956, 42, 636) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 666, 956, 42, 636 is 2

GCD(666, 956, 42, 636) = 2

GCD of 666,956,42,636 Calculator

GCDof 666,956,42,636 is 2

Given Input numbers are 666, 956, 42, 636

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

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

Greatest Common Divisior

We found the divisors of 666, 956, 42, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 956, 42, 636 is 2.

Therefore, GCD of numbers 666, 956, 42, 636 is 2

Finding GCD of 666, 956, 42, 636 using Prime Factorization

Given Input Data is 666, 956, 42, 636

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 636 is 2 x 2 x 3 x 53

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 666, 956, 42, 636 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(666, 956) = 318348

GCD(666, 956) = ( 666 x 956 ) / 318348

GCD(666, 956) = 636696 / 318348

GCD(666, 956) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

GCD of 666, 956, 42, 636 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 666, 956, 42, 636

1. What is the GCD of 666, 956, 42, 636?

GCD of 666, 956, 42, 636 is 2


2. Where do I get the detailed procedure to find GCD of 666, 956, 42, 636?

You can find a detailed procedure to find GCD of 666, 956, 42, 636 on our page.


3. How to find GCD of 666, 956, 42, 636 on a calculator?

You can find the GCD of 666, 956, 42, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.