GCD of 448, 274, 28, 323 Calculator

Given Input numbers are 448, 274, 28, 323

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 448, 274, 28, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 274, 28, 323 is 1.

Therefore, GCD of numbers 448, 274, 28, 323 is 1

Given Input Data is 448, 274, 28, 323

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 274 is 2 x 137

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 323 is 17 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(448, 274) = 61376

GCD(448, 274) = ( 448 x 274 ) / 61376

GCD(448, 274) = 122752 / 61376

GCD(448, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 323

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

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

GCD(2, 323) = 646 / 646

GCD(2, 323) = 1

GCD of 448, 274, 28, 323 is 1

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• GCD of 758, 905, 88, 168
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• GCD of 143, 169, 99, 448

1. What is the GCD of 448, 274, 28, 323?

GCD of 448, 274, 28, 323 is 1

2. Where do I get the detailed procedure to find GCD of 448, 274, 28, 323?

You can find a detailed procedure to find GCD of 448, 274, 28, 323 on our page.

3. How to find GCD of 448, 274, 28, 323 on a calculator?

You can find the GCD of 448, 274, 28, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.