GCD of 298, 478, 48, 304 Calculator

Given Input numbers are 298, 478, 48, 304

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

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

Greatest Common Divisior

We found the divisors of 298, 478, 48, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 478, 48, 304 is 2.

Therefore, GCD of numbers 298, 478, 48, 304 is 2

Given Input Data is 298, 478, 48, 304

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 478 is 2 x 239

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 304 is 2 x 2 x 2 x 2 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(298, 478) = 71222

GCD(298, 478) = ( 298 x 478 ) / 71222

GCD(298, 478) = 142444 / 71222

GCD(298, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

GCD of 298, 478, 48, 304 is 2

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1. What is the GCD of 298, 478, 48, 304?

GCD of 298, 478, 48, 304 is 2

2. Where do I get the detailed procedure to find GCD of 298, 478, 48, 304?

You can find a detailed procedure to find GCD of 298, 478, 48, 304 on our page.

3. How to find GCD of 298, 478, 48, 304 on a calculator?

You can find the GCD of 298, 478, 48, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.