GCD of 444, 394, 360, 294 Calculator

Given Input numbers are 444, 394, 360, 294

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 394

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

1, 2, 197, 394

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 444, 394, 360, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 394, 360, 294 is 2.

Therefore, GCD of numbers 444, 394, 360, 294 is 2

Given Input Data is 444, 394, 360, 294

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 394 is 2 x 197

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(444, 394) = 87468

GCD(444, 394) = ( 444 x 394 ) / 87468

GCD(444, 394) = 174936 / 87468

GCD(444, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

GCD of 444, 394, 360, 294 is 2

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1. What is the GCD of 444, 394, 360, 294?

GCD of 444, 394, 360, 294 is 2

2. Where do I get the detailed procedure to find GCD of 444, 394, 360, 294?

You can find a detailed procedure to find GCD of 444, 394, 360, 294 on our page.

3. How to find GCD of 444, 394, 360, 294 on a calculator?

You can find the GCD of 444, 394, 360, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.