GCD of 224, 412, 56, 626 Calculator

Given Input numbers are 224, 412, 56, 626

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

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 412

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

1, 2, 4, 103, 206, 412

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 224, 412, 56, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 412, 56, 626 is 2.

Therefore, GCD of numbers 224, 412, 56, 626 is 2

Given Input Data is 224, 412, 56, 626

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

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 626 is 2 x 313

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(224, 412) = 23072

GCD(224, 412) = ( 224 x 412 ) / 23072

GCD(224, 412) = 92288 / 23072

GCD(224, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 56

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

LCM(4, 56) = 56

GCD(4, 56) = ( 4 x 56 ) / 56

GCD(4, 56) = 224 / 56

GCD(4, 56) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 626

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

LCM(4, 626) = 1252

GCD(4, 626) = ( 4 x 626 ) / 1252

GCD(4, 626) = 2504 / 1252

GCD(4, 626) = 2

GCD of 224, 412, 56, 626 is 2

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1. What is the GCD of 224, 412, 56, 626?

GCD of 224, 412, 56, 626 is 2

2. Where do I get the detailed procedure to find GCD of 224, 412, 56, 626?

You can find a detailed procedure to find GCD of 224, 412, 56, 626 on our page.

3. How to find GCD of 224, 412, 56, 626 on a calculator?

You can find the GCD of 224, 412, 56, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.