GCD of 484, 276, 48, 224 Calculator

Given Input numbers are 484, 276, 48, 224

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 484, 276, 48, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 276, 48, 224 is 4.

Therefore, GCD of numbers 484, 276, 48, 224 is 4

Given Input Data is 484, 276, 48, 224

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 276 is 2 x 2 x 3 x 23

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(484, 276) = 33396

GCD(484, 276) = ( 484 x 276 ) / 33396

GCD(484, 276) = 133584 / 33396

GCD(484, 276) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 224

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

LCM(4, 224) = 224

GCD(4, 224) = ( 4 x 224 ) / 224

GCD(4, 224) = 896 / 224

GCD(4, 224) = 4

GCD of 484, 276, 48, 224 is 4

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1. What is the GCD of 484, 276, 48, 224?

GCD of 484, 276, 48, 224 is 4

2. Where do I get the detailed procedure to find GCD of 484, 276, 48, 224?

You can find a detailed procedure to find GCD of 484, 276, 48, 224 on our page.

3. How to find GCD of 484, 276, 48, 224 on a calculator?

You can find the GCD of 484, 276, 48, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.