GCD of 548, 412, 622, 225 Calculator

Given Input numbers are 548, 412, 622, 225

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 548, 412, 622, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 412, 622, 225 is 1.

Therefore, GCD of numbers 548, 412, 622, 225 is 1

Given Input Data is 548, 412, 622, 225

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 622 is 2 x 311

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(548, 412) = 56444

GCD(548, 412) = ( 548 x 412 ) / 56444

GCD(548, 412) = 225776 / 56444

GCD(548, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 622

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

LCM(4, 622) = 1244

GCD(4, 622) = ( 4 x 622 ) / 1244

GCD(4, 622) = 2488 / 1244

GCD(4, 622) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 225

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

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

GCD(2, 225) = 450 / 450

GCD(2, 225) = 1

GCD of 548, 412, 622, 225 is 1

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1. What is the GCD of 548, 412, 622, 225?

GCD of 548, 412, 622, 225 is 1

2. Where do I get the detailed procedure to find GCD of 548, 412, 622, 225?

You can find a detailed procedure to find GCD of 548, 412, 622, 225 on our page.

3. How to find GCD of 548, 412, 622, 225 on a calculator?

You can find the GCD of 548, 412, 622, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.