GCD of 894, 676, 394, 133 Calculator

Given Input numbers are 894, 676, 394, 133

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 394

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

1, 2, 197, 394

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 894, 676, 394, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 676, 394, 133 is 1.

Therefore, GCD of numbers 894, 676, 394, 133 is 1

Given Input Data is 894, 676, 394, 133

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 394 is 2 x 197

Prime Factorization of 133 is 7 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(894, 676) = 302172

GCD(894, 676) = ( 894 x 676 ) / 302172

GCD(894, 676) = 604344 / 302172

GCD(894, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

GCD of 894, 676, 394, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 827, 599, 432
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1. What is the GCD of 894, 676, 394, 133?

GCD of 894, 676, 394, 133 is 1

2. Where do I get the detailed procedure to find GCD of 894, 676, 394, 133?

You can find a detailed procedure to find GCD of 894, 676, 394, 133 on our page.

3. How to find GCD of 894, 676, 394, 133 on a calculator?

You can find the GCD of 894, 676, 394, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.