GCD of 409, 242, 82, 396 Calculator

Given Input numbers are 409, 242, 82, 396

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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 409, 242, 82, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 242, 82, 396 is 1.

Therefore, GCD of numbers 409, 242, 82, 396 is 1

Given Input Data is 409, 242, 82, 396

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

Prime Factorization of 409 is 409

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 82 is 2 x 41

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(409, 242) = 98978

GCD(409, 242) = ( 409 x 242 ) / 98978

GCD(409, 242) = 98978 / 98978

GCD(409, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 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 409, 242, 82, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 145, 12, 219
• GCD of 404, 538, 40, 795
• GCD of 943, 785, 66, 492
• GCD of 411, 997, 69, 515
• GCD of 470, 156, 30, 794

1. What is the GCD of 409, 242, 82, 396?

GCD of 409, 242, 82, 396 is 1

2. Where do I get the detailed procedure to find GCD of 409, 242, 82, 396?

You can find a detailed procedure to find GCD of 409, 242, 82, 396 on our page.

3. How to find GCD of 409, 242, 82, 396 on a calculator?

You can find the GCD of 409, 242, 82, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.