GCD of 669, 205, 24, 396 Calculator

Given Input numbers are 669, 205, 24, 396

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

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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

Greatest Common Divisior

We found the divisors of 669, 205, 24, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 205, 24, 396 is 1.

Therefore, GCD of numbers 669, 205, 24, 396 is 1

Given Input Data is 669, 205, 24, 396

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 205 is 5 x 41

Prime Factorization of 24 is 2 x 2 x 2 x 3

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

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(669, 205) = 137145

GCD(669, 205) = ( 669 x 205 ) / 137145

GCD(669, 205) = 137145 / 137145

GCD(669, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 669, 205, 24, 396 is 1

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1. What is the GCD of 669, 205, 24, 396?

GCD of 669, 205, 24, 396 is 1

2. Where do I get the detailed procedure to find GCD of 669, 205, 24, 396?

You can find a detailed procedure to find GCD of 669, 205, 24, 396 on our page.

3. How to find GCD of 669, 205, 24, 396 on a calculator?

You can find the GCD of 669, 205, 24, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.