GCD of 990, 212, 324, 453 Calculator

Given Input numbers are 990, 212, 324, 453

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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 990, 212, 324, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 212, 324, 453 is 1.

Therefore, GCD of numbers 990, 212, 324, 453 is 1

Given Input Data is 990, 212, 324, 453

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(990, 212) = 104940

GCD(990, 212) = ( 990 x 212 ) / 104940

GCD(990, 212) = 209880 / 104940

GCD(990, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 453

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

LCM(2, 453) = 906

GCD(2, 453) = ( 2 x 453 ) / 906

GCD(2, 453) = 906 / 906

GCD(2, 453) = 1

GCD of 990, 212, 324, 453 is 1

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1. What is the GCD of 990, 212, 324, 453?

GCD of 990, 212, 324, 453 is 1

2. Where do I get the detailed procedure to find GCD of 990, 212, 324, 453?

You can find a detailed procedure to find GCD of 990, 212, 324, 453 on our page.

3. How to find GCD of 990, 212, 324, 453 on a calculator?

You can find the GCD of 990, 212, 324, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.