GCD of 381, 552, 549, 224 Calculator

Given Input numbers are 381, 552, 549, 224

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

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 381, 552, 549, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 552, 549, 224 is 1.

Therefore, GCD of numbers 381, 552, 549, 224 is 1

Given Input Data is 381, 552, 549, 224

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 549 is 3 x 3 x 61

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(381, 552) = 70104

GCD(381, 552) = ( 381 x 552 ) / 70104

GCD(381, 552) = 210312 / 70104

GCD(381, 552) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 549

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

LCM(3, 549) = 549

GCD(3, 549) = ( 3 x 549 ) / 549

GCD(3, 549) = 1647 / 549

GCD(3, 549) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 224

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

LCM(3, 224) = 672

GCD(3, 224) = ( 3 x 224 ) / 672

GCD(3, 224) = 672 / 672

GCD(3, 224) = 1

GCD of 381, 552, 549, 224 is 1

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1. What is the GCD of 381, 552, 549, 224?

GCD of 381, 552, 549, 224 is 1

2. Where do I get the detailed procedure to find GCD of 381, 552, 549, 224?

You can find a detailed procedure to find GCD of 381, 552, 549, 224 on our page.

3. How to find GCD of 381, 552, 549, 224 on a calculator?

You can find the GCD of 381, 552, 549, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.