GCD of 640, 842, 66, 392 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 640, 842, 66, 392 i.e. 2 largest integer that divides all the numbers equally.

GCD of 640, 842, 66, 392 is 2

GCD(640, 842, 66, 392) = 2

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

GCD of

GCD of numbers 640, 842, 66, 392 is 2

GCD(640, 842, 66, 392) = 2

GCD of 640,842,66,392 Calculator

GCDof 640,842,66,392 is 2

Given Input numbers are 640, 842, 66, 392

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 640, 842, 66, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 842, 66, 392 is 2.

Therefore, GCD of numbers 640, 842, 66, 392 is 2

Finding GCD of 640, 842, 66, 392 using Prime Factorization

Given Input Data is 640, 842, 66, 392

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 842 is 2 x 421

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 640, 842, 66, 392 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(640, 842) = 269440

GCD(640, 842) = ( 640 x 842 ) / 269440

GCD(640, 842) = 538880 / 269440

GCD(640, 842) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 640, 842, 66, 392 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 640, 842, 66, 392

1. What is the GCD of 640, 842, 66, 392?

GCD of 640, 842, 66, 392 is 2


2. Where do I get the detailed procedure to find GCD of 640, 842, 66, 392?

You can find a detailed procedure to find GCD of 640, 842, 66, 392 on our page.


3. How to find GCD of 640, 842, 66, 392 on a calculator?

You can find the GCD of 640, 842, 66, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.