GCD of 308, 224, 224, 313 Calculator

Given Input numbers are 308, 224, 224, 313

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 308, 224, 224, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 224, 224, 313 is 1.

Therefore, GCD of numbers 308, 224, 224, 313 is 1

Given Input Data is 308, 224, 224, 313

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

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

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

Prime Factorization of 313 is 313

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(308, 224) = 2464

GCD(308, 224) = ( 308 x 224 ) / 2464

GCD(308, 224) = 68992 / 2464

GCD(308, 224) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 224

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

LCM(28, 224) = 224

GCD(28, 224) = ( 28 x 224 ) / 224

GCD(28, 224) = 6272 / 224

GCD(28, 224) = 28

Step3:

Here we consider the GCD from the above i.e. 28 as first number and the next as 313

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

LCM(28, 313) = 8764

GCD(28, 313) = ( 28 x 313 ) / 8764

GCD(28, 313) = 8764 / 8764

GCD(28, 313) = 1

GCD of 308, 224, 224, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 543, 908, 990
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• GCD of 144, 949, 306, 738

1. What is the GCD of 308, 224, 224, 313?

GCD of 308, 224, 224, 313 is 1

2. Where do I get the detailed procedure to find GCD of 308, 224, 224, 313?

You can find a detailed procedure to find GCD of 308, 224, 224, 313 on our page.

3. How to find GCD of 308, 224, 224, 313 on a calculator?

You can find the GCD of 308, 224, 224, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.