GCD of 998, 501, 96, 912 Calculator

Given Input numbers are 998, 501, 96, 912

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 998, 501, 96, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 501, 96, 912 is 1.

Therefore, GCD of numbers 998, 501, 96, 912 is 1

Given Input Data is 998, 501, 96, 912

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 501 is 3 x 167

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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, 501) = 499998

GCD(998, 501) = ( 998 x 501 ) / 499998

GCD(998, 501) = 499998 / 499998

GCD(998, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 912

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

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

GCD(1, 912) = 912 / 912

GCD(1, 912) = 1

GCD of 998, 501, 96, 912 is 1

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1. What is the GCD of 998, 501, 96, 912?

GCD of 998, 501, 96, 912 is 1

2. Where do I get the detailed procedure to find GCD of 998, 501, 96, 912?

You can find a detailed procedure to find GCD of 998, 501, 96, 912 on our page.

3. How to find GCD of 998, 501, 96, 912 on a calculator?

You can find the GCD of 998, 501, 96, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.