GCD of 230, 390, 426, 226 Calculator

Given Input numbers are 230, 390, 426, 226

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 230, 390, 426, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 390, 426, 226 is 2.

Therefore, GCD of numbers 230, 390, 426, 226 is 2

Given Input Data is 230, 390, 426, 226

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 226 is 2 x 113

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(230, 390) = 8970

GCD(230, 390) = ( 230 x 390 ) / 8970

GCD(230, 390) = 89700 / 8970

GCD(230, 390) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 426

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

LCM(10, 426) = 2130

GCD(10, 426) = ( 10 x 426 ) / 2130

GCD(10, 426) = 4260 / 2130

GCD(10, 426) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 230, 390, 426, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 689, 308, 225
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• GCD of 913, 329, 672, 792

1. What is the GCD of 230, 390, 426, 226?

GCD of 230, 390, 426, 226 is 2

2. Where do I get the detailed procedure to find GCD of 230, 390, 426, 226?

You can find a detailed procedure to find GCD of 230, 390, 426, 226 on our page.

3. How to find GCD of 230, 390, 426, 226 on a calculator?

You can find the GCD of 230, 390, 426, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.