GCD of 628, 998, 238 Calculator

Given Input numbers are 628, 998, 238

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 628, 998, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 998, 238 is 2.

Therefore, GCD of numbers 628, 998, 238 is 2

Given Input Data is 628, 998, 238

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 998 is 2 x 499

Prime Factorization of 238 is 2 x 7 x 17

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(628, 998) = 313372

GCD(628, 998) = ( 628 x 998 ) / 313372

GCD(628, 998) = 626744 / 313372

GCD(628, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

GCD of 628, 998, 238 is 2

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1. What is the GCD of 628, 998, 238?

GCD of 628, 998, 238 is 2

2. Where do I get the detailed procedure to find GCD of 628, 998, 238?

You can find a detailed procedure to find GCD of 628, 998, 238 on our page.

3. How to find GCD of 628, 998, 238 on a calculator?

You can find the GCD of 628, 998, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.