GCD of 309, 413, 504, 998 Calculator

Given Input numbers are 309, 413, 504, 998

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 309, 413, 504, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 413, 504, 998 is 1.

Therefore, GCD of numbers 309, 413, 504, 998 is 1

Given Input Data is 309, 413, 504, 998

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 413 is 7 x 59

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 998 is 2 x 499

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(309, 413) = 127617

GCD(309, 413) = ( 309 x 413 ) / 127617

GCD(309, 413) = 127617 / 127617

GCD(309, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 309, 413, 504, 998 is 1

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• GCD of 667, 830, 349, 674
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1. What is the GCD of 309, 413, 504, 998?

GCD of 309, 413, 504, 998 is 1

2. Where do I get the detailed procedure to find GCD of 309, 413, 504, 998?

You can find a detailed procedure to find GCD of 309, 413, 504, 998 on our page.

3. How to find GCD of 309, 413, 504, 998 on a calculator?

You can find the GCD of 309, 413, 504, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.