GCD of 538, 200, 10, 230 Calculator

Given Input numbers are 538, 200, 10, 230

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 230

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

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

Greatest Common Divisior

We found the divisors of 538, 200, 10, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 200, 10, 230 is 2.

Therefore, GCD of numbers 538, 200, 10, 230 is 2

Given Input Data is 538, 200, 10, 230

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 10 is 2 x 5

Prime Factorization of 230 is 2 x 5 x 23

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(538, 200) = 53800

GCD(538, 200) = ( 538 x 200 ) / 53800

GCD(538, 200) = 107600 / 53800

GCD(538, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 230

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

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

GCD(2, 230) = 460 / 230

GCD(2, 230) = 2

GCD of 538, 200, 10, 230 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 942, 55, 269
• GCD of 115, 842, 61, 577
• GCD of 609, 264, 56, 662
• GCD of 871, 198, 63, 861
• GCD of 953, 979, 87, 608

1. What is the GCD of 538, 200, 10, 230?

GCD of 538, 200, 10, 230 is 2

2. Where do I get the detailed procedure to find GCD of 538, 200, 10, 230?

You can find a detailed procedure to find GCD of 538, 200, 10, 230 on our page.

3. How to find GCD of 538, 200, 10, 230 on a calculator?

You can find the GCD of 538, 200, 10, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.