GCD of 396, 918, 27, 640 Calculator

Given Input numbers are 396, 918, 27, 640

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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

Greatest Common Divisior

We found the divisors of 396, 918, 27, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 918, 27, 640 is 1.

Therefore, GCD of numbers 396, 918, 27, 640 is 1

Given Input Data is 396, 918, 27, 640

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 27 is 3 x 3 x 3

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

The above numbers do not have any common prime factor. So GCD is 1

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(396, 918) = 20196

GCD(396, 918) = ( 396 x 918 ) / 20196

GCD(396, 918) = 363528 / 20196

GCD(396, 918) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 27

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

LCM(18, 27) = 54

GCD(18, 27) = ( 18 x 27 ) / 54

GCD(18, 27) = 486 / 54

GCD(18, 27) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 640

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

LCM(9, 640) = 5760

GCD(9, 640) = ( 9 x 640 ) / 5760

GCD(9, 640) = 5760 / 5760

GCD(9, 640) = 1

GCD of 396, 918, 27, 640 is 1

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1. What is the GCD of 396, 918, 27, 640?

GCD of 396, 918, 27, 640 is 1

2. Where do I get the detailed procedure to find GCD of 396, 918, 27, 640?

You can find a detailed procedure to find GCD of 396, 918, 27, 640 on our page.

3. How to find GCD of 396, 918, 27, 640 on a calculator?

You can find the GCD of 396, 918, 27, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.