GCD of 998, 452, 39, 505 Calculator

Given Input numbers are 998, 452, 39, 505

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 998, 452, 39, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 452, 39, 505 is 1.

Therefore, GCD of numbers 998, 452, 39, 505 is 1

Given Input Data is 998, 452, 39, 505

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 39 is 3 x 13

Prime Factorization of 505 is 5 x 101

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(998, 452) = 225548

GCD(998, 452) = ( 998 x 452 ) / 225548

GCD(998, 452) = 451096 / 225548

GCD(998, 452) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 998, 452, 39, 505 is 1

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1. What is the GCD of 998, 452, 39, 505?

GCD of 998, 452, 39, 505 is 1

2. Where do I get the detailed procedure to find GCD of 998, 452, 39, 505?

You can find a detailed procedure to find GCD of 998, 452, 39, 505 on our page.

3. How to find GCD of 998, 452, 39, 505 on a calculator?

You can find the GCD of 998, 452, 39, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.