GCD of 396, 291, 24, 609 Calculator

Given Input numbers are 396, 291, 24, 609

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 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 396, 291, 24, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 291, 24, 609 is 3.

Therefore, GCD of numbers 396, 291, 24, 609 is 3

Given Input Data is 396, 291, 24, 609

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 291 is 3 x 97

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

Prime Factorization of 609 is 3 x 7 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 291) = 38412

GCD(396, 291) = ( 396 x 291 ) / 38412

GCD(396, 291) = 115236 / 38412

GCD(396, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 609

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

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

GCD(3, 609) = 1827 / 609

GCD(3, 609) = 3

GCD of 396, 291, 24, 609 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 374, 16, 721
• GCD of 924, 617, 83, 677
• GCD of 290, 193, 32, 108
• GCD of 211, 311, 60, 966
• GCD of 488, 576, 42, 318

1. What is the GCD of 396, 291, 24, 609?

GCD of 396, 291, 24, 609 is 3

2. Where do I get the detailed procedure to find GCD of 396, 291, 24, 609?

You can find a detailed procedure to find GCD of 396, 291, 24, 609 on our page.

3. How to find GCD of 396, 291, 24, 609 on a calculator?

You can find the GCD of 396, 291, 24, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.