GCD of 24, 394, 224, 374 Calculator

Given Input numbers are 24, 394, 224, 374

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 24, 394, 224, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 394, 224, 374 is 2.

Therefore, GCD of numbers 24, 394, 224, 374 is 2

Given Input Data is 24, 394, 224, 374

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 394 is 2 x 197

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

Prime Factorization of 374 is 2 x 11 x 17

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(24, 394) = 4728

GCD(24, 394) = ( 24 x 394 ) / 4728

GCD(24, 394) = 9456 / 4728

GCD(24, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

GCD of 24, 394, 224, 374 is 2

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• GCD of 95, 867, 966, 997
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1. What is the GCD of 24, 394, 224, 374?

GCD of 24, 394, 224, 374 is 2

2. Where do I get the detailed procedure to find GCD of 24, 394, 224, 374?

You can find a detailed procedure to find GCD of 24, 394, 224, 374 on our page.

3. How to find GCD of 24, 394, 224, 374 on a calculator?

You can find the GCD of 24, 394, 224, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.