GCD of 383, 351, 614, 224 Calculator

Given Input numbers are 383, 351, 614, 224

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

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

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 383, 351, 614, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 351, 614, 224 is 1.

Therefore, GCD of numbers 383, 351, 614, 224 is 1

Given Input Data is 383, 351, 614, 224

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

Prime Factorization of 383 is 383

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 614 is 2 x 307

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

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(383, 351) = 134433

GCD(383, 351) = ( 383 x 351 ) / 134433

GCD(383, 351) = 134433 / 134433

GCD(383, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 383, 351, 614, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 857, 672, 382
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• GCD of 903, 739, 450, 564

1. What is the GCD of 383, 351, 614, 224?

GCD of 383, 351, 614, 224 is 1

2. Where do I get the detailed procedure to find GCD of 383, 351, 614, 224?

You can find a detailed procedure to find GCD of 383, 351, 614, 224 on our page.

3. How to find GCD of 383, 351, 614, 224 on a calculator?

You can find the GCD of 383, 351, 614, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.