GCD of 248, 522, 48, 398 Calculator

Given Input numbers are 248, 522, 48, 398

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 248, 522, 48, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 522, 48, 398 is 2.

Therefore, GCD of numbers 248, 522, 48, 398 is 2

Given Input Data is 248, 522, 48, 398

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 522 is 2 x 3 x 3 x 29

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

Prime Factorization of 398 is 2 x 199

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(248, 522) = 64728

GCD(248, 522) = ( 248 x 522 ) / 64728

GCD(248, 522) = 129456 / 64728

GCD(248, 522) = 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 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

GCD of 248, 522, 48, 398 is 2

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• GCD of 155, 820, 44, 220
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1. What is the GCD of 248, 522, 48, 398?

GCD of 248, 522, 48, 398 is 2

2. Where do I get the detailed procedure to find GCD of 248, 522, 48, 398?

You can find a detailed procedure to find GCD of 248, 522, 48, 398 on our page.

3. How to find GCD of 248, 522, 48, 398 on a calculator?

You can find the GCD of 248, 522, 48, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.