GCD of 624, 727, 446, 224 Calculator

Given Input numbers are 624, 727, 446, 224

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

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 624, 727, 446, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 727, 446, 224 is 1.

Therefore, GCD of numbers 624, 727, 446, 224 is 1

Given Input Data is 624, 727, 446, 224

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 727 is 727

Prime Factorization of 446 is 2 x 223

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(624, 727) = 453648

GCD(624, 727) = ( 624 x 727 ) / 453648

GCD(624, 727) = 453648 / 453648

GCD(624, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 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 624, 727, 446, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 508, 366, 584
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• GCD of 735, 679, 112, 337

1. What is the GCD of 624, 727, 446, 224?

GCD of 624, 727, 446, 224 is 1

2. Where do I get the detailed procedure to find GCD of 624, 727, 446, 224?

You can find a detailed procedure to find GCD of 624, 727, 446, 224 on our page.

3. How to find GCD of 624, 727, 446, 224 on a calculator?

You can find the GCD of 624, 727, 446, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.