GCD of 442, 794, 208, 627 Calculator

Given Input numbers are 442, 794, 208, 627

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 442, 794, 208, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 794, 208, 627 is 1.

Therefore, GCD of numbers 442, 794, 208, 627 is 1

Given Input Data is 442, 794, 208, 627

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 794 is 2 x 397

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 627 is 3 x 11 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(442, 794) = 175474

GCD(442, 794) = ( 442 x 794 ) / 175474

GCD(442, 794) = 350948 / 175474

GCD(442, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 627

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

LCM(2, 627) = 1254

GCD(2, 627) = ( 2 x 627 ) / 1254

GCD(2, 627) = 1254 / 1254

GCD(2, 627) = 1

GCD of 442, 794, 208, 627 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 248, 560, 572
• GCD of 399, 421, 450, 513
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• GCD of 751, 723, 767, 497

1. What is the GCD of 442, 794, 208, 627?

GCD of 442, 794, 208, 627 is 1

2. Where do I get the detailed procedure to find GCD of 442, 794, 208, 627?

You can find a detailed procedure to find GCD of 442, 794, 208, 627 on our page.

3. How to find GCD of 442, 794, 208, 627 on a calculator?

You can find the GCD of 442, 794, 208, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.