GCD of 444, 122, 800, 194 Calculator

Given Input numbers are 444, 122, 800, 194

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 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 444, 122, 800, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 122, 800, 194 is 2.

Therefore, GCD of numbers 444, 122, 800, 194 is 2

Given Input Data is 444, 122, 800, 194

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 122 is 2 x 61

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 194 is 2 x 97

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, 122) = 27084

GCD(444, 122) = ( 444 x 122 ) / 27084

GCD(444, 122) = 54168 / 27084

GCD(444, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

GCD of 444, 122, 800, 194 is 2

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• GCD of 775, 885, 477, 940
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1. What is the GCD of 444, 122, 800, 194?

GCD of 444, 122, 800, 194 is 2

2. Where do I get the detailed procedure to find GCD of 444, 122, 800, 194?

You can find a detailed procedure to find GCD of 444, 122, 800, 194 on our page.

3. How to find GCD of 444, 122, 800, 194 on a calculator?

You can find the GCD of 444, 122, 800, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.