GCD of 406, 245, 597, 990 Calculator

Given Input numbers are 406, 245, 597, 990

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 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

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

Greatest Common Divisior

We found the divisors of 406, 245, 597, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 245, 597, 990 is 1.

Therefore, GCD of numbers 406, 245, 597, 990 is 1

Given Input Data is 406, 245, 597, 990

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 245 is 5 x 7 x 7

Prime Factorization of 597 is 3 x 199

Prime Factorization of 990 is 2 x 3 x 3 x 5 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(406, 245) = 14210

GCD(406, 245) = ( 406 x 245 ) / 14210

GCD(406, 245) = 99470 / 14210

GCD(406, 245) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 597

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

LCM(7, 597) = 4179

GCD(7, 597) = ( 7 x 597 ) / 4179

GCD(7, 597) = 4179 / 4179

GCD(7, 597) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 406, 245, 597, 990 is 1

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1. What is the GCD of 406, 245, 597, 990?

GCD of 406, 245, 597, 990 is 1

2. Where do I get the detailed procedure to find GCD of 406, 245, 597, 990?

You can find a detailed procedure to find GCD of 406, 245, 597, 990 on our page.

3. How to find GCD of 406, 245, 597, 990 on a calculator?

You can find the GCD of 406, 245, 597, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.