GCD of 406, 996, 21, 453 Calculator

Given Input numbers are 406, 996, 21, 453

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 406, 996, 21, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 996, 21, 453 is 1.

Therefore, GCD of numbers 406, 996, 21, 453 is 1

Given Input Data is 406, 996, 21, 453

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 21 is 3 x 7

Prime Factorization of 453 is 3 x 151

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(406, 996) = 202188

GCD(406, 996) = ( 406 x 996 ) / 202188

GCD(406, 996) = 404376 / 202188

GCD(406, 996) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 406, 996, 21, 453 is 1

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1. What is the GCD of 406, 996, 21, 453?

GCD of 406, 996, 21, 453 is 1

2. Where do I get the detailed procedure to find GCD of 406, 996, 21, 453?

You can find a detailed procedure to find GCD of 406, 996, 21, 453 on our page.

3. How to find GCD of 406, 996, 21, 453 on a calculator?

You can find the GCD of 406, 996, 21, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.