GCD of 226, 970, 394, 238 Calculator

Given Input numbers are 226, 970, 394, 238

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 394

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

1, 2, 197, 394

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 226, 970, 394, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 970, 394, 238 is 2.

Therefore, GCD of numbers 226, 970, 394, 238 is 2

Given Input Data is 226, 970, 394, 238

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 394 is 2 x 197

Prime Factorization of 238 is 2 x 7 x 17

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(226, 970) = 109610

GCD(226, 970) = ( 226 x 970 ) / 109610

GCD(226, 970) = 219220 / 109610

GCD(226, 970) = 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 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

GCD of 226, 970, 394, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 687, 938, 489
• GCD of 952, 748, 466, 538
• GCD of 909, 414, 883, 536
• GCD of 697, 295, 926, 182
• GCD of 677, 339, 278, 697

1. What is the GCD of 226, 970, 394, 238?

GCD of 226, 970, 394, 238 is 2

2. Where do I get the detailed procedure to find GCD of 226, 970, 394, 238?

You can find a detailed procedure to find GCD of 226, 970, 394, 238 on our page.

3. How to find GCD of 226, 970, 394, 238 on a calculator?

You can find the GCD of 226, 970, 394, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.