GCD of 394, 590, 894, 956 Calculator

Given Input numbers are 394, 590, 894, 956

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

Divisors of 394

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

1, 2, 197, 394

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 394, 590, 894, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 590, 894, 956 is 2.

Therefore, GCD of numbers 394, 590, 894, 956 is 2

Given Input Data is 394, 590, 894, 956

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 956 is 2 x 2 x 239

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(394, 590) = 116230

GCD(394, 590) = ( 394 x 590 ) / 116230

GCD(394, 590) = 232460 / 116230

GCD(394, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

GCD of 394, 590, 894, 956 is 2

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1. What is the GCD of 394, 590, 894, 956?

GCD of 394, 590, 894, 956 is 2

2. Where do I get the detailed procedure to find GCD of 394, 590, 894, 956?

You can find a detailed procedure to find GCD of 394, 590, 894, 956 on our page.

3. How to find GCD of 394, 590, 894, 956 on a calculator?

You can find the GCD of 394, 590, 894, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.