GCD of 998, 496, 214, 228 Calculator

Given Input numbers are 998, 496, 214, 228

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 998, 496, 214, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 496, 214, 228 is 2.

Therefore, GCD of numbers 998, 496, 214, 228 is 2

Given Input Data is 998, 496, 214, 228

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 214 is 2 x 107

Prime Factorization of 228 is 2 x 2 x 3 x 19

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, 496) = 247504

GCD(998, 496) = ( 998 x 496 ) / 247504

GCD(998, 496) = 495008 / 247504

GCD(998, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

GCD of 998, 496, 214, 228 is 2

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1. What is the GCD of 998, 496, 214, 228?

GCD of 998, 496, 214, 228 is 2

2. Where do I get the detailed procedure to find GCD of 998, 496, 214, 228?

You can find a detailed procedure to find GCD of 998, 496, 214, 228 on our page.

3. How to find GCD of 998, 496, 214, 228 on a calculator?

You can find the GCD of 998, 496, 214, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.