GCD of 230, 386, 36, 464 Calculator

Given Input numbers are 230, 386, 36, 464

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 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 230, 386, 36, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 386, 36, 464 is 2.

Therefore, GCD of numbers 230, 386, 36, 464 is 2

Given Input Data is 230, 386, 36, 464

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 386 is 2 x 193

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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, 386) = 44390

GCD(230, 386) = ( 230 x 386 ) / 44390

GCD(230, 386) = 88780 / 44390

GCD(230, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 230, 386, 36, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 599, 23, 111
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• GCD of 491, 780, 59, 373
• GCD of 633, 180, 40, 708
• GCD of 715, 891, 12, 652

1. What is the GCD of 230, 386, 36, 464?

GCD of 230, 386, 36, 464 is 2

2. Where do I get the detailed procedure to find GCD of 230, 386, 36, 464?

You can find a detailed procedure to find GCD of 230, 386, 36, 464 on our page.

3. How to find GCD of 230, 386, 36, 464 on a calculator?

You can find the GCD of 230, 386, 36, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.