GCD of 998, 480, 53, 339 Calculator

Given Input numbers are 998, 480, 53, 339

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 998, 480, 53, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 480, 53, 339 is 1.

Therefore, GCD of numbers 998, 480, 53, 339 is 1

Given Input Data is 998, 480, 53, 339

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 53 is 53

Prime Factorization of 339 is 3 x 113

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, 480) = 239520

GCD(998, 480) = ( 998 x 480 ) / 239520

GCD(998, 480) = 479040 / 239520

GCD(998, 480) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 998, 480, 53, 339 is 1

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1. What is the GCD of 998, 480, 53, 339?

GCD of 998, 480, 53, 339 is 1

2. Where do I get the detailed procedure to find GCD of 998, 480, 53, 339?

You can find a detailed procedure to find GCD of 998, 480, 53, 339 on our page.

3. How to find GCD of 998, 480, 53, 339 on a calculator?

You can find the GCD of 998, 480, 53, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.