GCD of 498, 608, 18, 388 Calculator

Given Input numbers are 498, 608, 18, 388

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 388

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

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 498, 608, 18, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 608, 18, 388 is 2.

Therefore, GCD of numbers 498, 608, 18, 388 is 2

Given Input Data is 498, 608, 18, 388

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 388 is 2 x 2 x 97

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(498, 608) = 151392

GCD(498, 608) = ( 498 x 608 ) / 151392

GCD(498, 608) = 302784 / 151392

GCD(498, 608) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

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

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 2

GCD of 498, 608, 18, 388 is 2

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• GCD of 358, 455, 82, 605
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• GCD of 221, 818, 84, 140

1. What is the GCD of 498, 608, 18, 388?

GCD of 498, 608, 18, 388 is 2

2. Where do I get the detailed procedure to find GCD of 498, 608, 18, 388?

You can find a detailed procedure to find GCD of 498, 608, 18, 388 on our page.

3. How to find GCD of 498, 608, 18, 388 on a calculator?

You can find the GCD of 498, 608, 18, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.