GCD of 224, 734, 18, 608 Calculator

Given Input numbers are 224, 734, 18, 608

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 224, 734, 18, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 734, 18, 608 is 2.

Therefore, GCD of numbers 224, 734, 18, 608 is 2

Given Input Data is 224, 734, 18, 608

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 734 is 2 x 367

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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, 734) = 82208

GCD(224, 734) = ( 224 x 734 ) / 82208

GCD(224, 734) = 164416 / 82208

GCD(224, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

GCD of 224, 734, 18, 608 is 2

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1. What is the GCD of 224, 734, 18, 608?

GCD of 224, 734, 18, 608 is 2

2. Where do I get the detailed procedure to find GCD of 224, 734, 18, 608?

You can find a detailed procedure to find GCD of 224, 734, 18, 608 on our page.

3. How to find GCD of 224, 734, 18, 608 on a calculator?

You can find the GCD of 224, 734, 18, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.