GCD of 736, 368, 228, 224 Calculator

Given Input numbers are 736, 368, 228, 224

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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 736, 368, 228, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 368, 228, 224 is 4.

Therefore, GCD of numbers 736, 368, 228, 224 is 4

Given Input Data is 736, 368, 228, 224

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 228 is 2 x 2 x 3 x 19

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(736, 368) = 736

GCD(736, 368) = ( 736 x 368 ) / 736

GCD(736, 368) = 270848 / 736

GCD(736, 368) = 368

Step2:

Here we consider the GCD from the above i.e. 368 as first number and the next as 228

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

LCM(368, 228) = 20976

GCD(368, 228) = ( 368 x 228 ) / 20976

GCD(368, 228) = 83904 / 20976

GCD(368, 228) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 224

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

LCM(4, 224) = 224

GCD(4, 224) = ( 4 x 224 ) / 224

GCD(4, 224) = 896 / 224

GCD(4, 224) = 4

GCD of 736, 368, 228, 224 is 4

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1. What is the GCD of 736, 368, 228, 224?

GCD of 736, 368, 228, 224 is 4

2. Where do I get the detailed procedure to find GCD of 736, 368, 228, 224?

You can find a detailed procedure to find GCD of 736, 368, 228, 224 on our page.

3. How to find GCD of 736, 368, 228, 224 on a calculator?

You can find the GCD of 736, 368, 228, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.