GCD of 309, 998, 85, 498 Calculator

Given Input numbers are 309, 998, 85, 498

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 998

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

1, 2, 499, 998

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 309, 998, 85, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 998, 85, 498 is 1.

Therefore, GCD of numbers 309, 998, 85, 498 is 1

Given Input Data is 309, 998, 85, 498

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 998 is 2 x 499

Prime Factorization of 85 is 5 x 17

Prime Factorization of 498 is 2 x 3 x 83

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, 998) = 308382

GCD(309, 998) = ( 309 x 998 ) / 308382

GCD(309, 998) = 308382 / 308382

GCD(309, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 309, 998, 85, 498 is 1

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1. What is the GCD of 309, 998, 85, 498?

GCD of 309, 998, 85, 498 is 1

2. Where do I get the detailed procedure to find GCD of 309, 998, 85, 498?

You can find a detailed procedure to find GCD of 309, 998, 85, 498 on our page.

3. How to find GCD of 309, 998, 85, 498 on a calculator?

You can find the GCD of 309, 998, 85, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.