GCD of 998, 388, 630 Calculator

Given Input numbers are 998, 388, 630

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 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 998, 388, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 388, 630 is 2.

Therefore, GCD of numbers 998, 388, 630 is 2

Given Input Data is 998, 388, 630

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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, 388) = 193612

GCD(998, 388) = ( 998 x 388 ) / 193612

GCD(998, 388) = 387224 / 193612

GCD(998, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2

GCD of 998, 388, 630 is 2

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1. What is the GCD of 998, 388, 630?

GCD of 998, 388, 630 is 2

2. Where do I get the detailed procedure to find GCD of 998, 388, 630?

You can find a detailed procedure to find GCD of 998, 388, 630 on our page.

3. How to find GCD of 998, 388, 630 on a calculator?

You can find the GCD of 998, 388, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.