GCD of 998, 960, 16, 488 Calculator

Given Input numbers are 998, 960, 16, 488

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 998, 960, 16, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 960, 16, 488 is 2.

Therefore, GCD of numbers 998, 960, 16, 488 is 2

Given Input Data is 998, 960, 16, 488

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 488 is 2 x 2 x 2 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 960) = 479040

GCD(998, 960) = ( 998 x 960 ) / 479040

GCD(998, 960) = 958080 / 479040

GCD(998, 960) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 488

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

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

GCD(2, 488) = 976 / 488

GCD(2, 488) = 2

GCD of 998, 960, 16, 488 is 2

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1. What is the GCD of 998, 960, 16, 488?

GCD of 998, 960, 16, 488 is 2

2. Where do I get the detailed procedure to find GCD of 998, 960, 16, 488?

You can find a detailed procedure to find GCD of 998, 960, 16, 488 on our page.

3. How to find GCD of 998, 960, 16, 488 on a calculator?

You can find the GCD of 998, 960, 16, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.