GCD of 231, 189, 10, 255 Calculator

Given Input numbers are 231, 189, 10, 255

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 10

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

1, 2, 5, 10

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 231, 189, 10, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 189, 10, 255 is 1.

Therefore, GCD of numbers 231, 189, 10, 255 is 1

Given Input Data is 231, 189, 10, 255

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 10 is 2 x 5

Prime Factorization of 255 is 3 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

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(231, 189) = 2079

GCD(231, 189) = ( 231 x 189 ) / 2079

GCD(231, 189) = 43659 / 2079

GCD(231, 189) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 10

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

LCM(21, 10) = 210

GCD(21, 10) = ( 21 x 10 ) / 210

GCD(21, 10) = 210 / 210

GCD(21, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 231, 189, 10, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 430, 13, 804
• GCD of 430, 698, 77, 524
• GCD of 943, 193, 11, 720
• GCD of 693, 828, 24, 739
• GCD of 834, 882, 50, 919

1. What is the GCD of 231, 189, 10, 255?

GCD of 231, 189, 10, 255 is 1

2. Where do I get the detailed procedure to find GCD of 231, 189, 10, 255?

You can find a detailed procedure to find GCD of 231, 189, 10, 255 on our page.

3. How to find GCD of 231, 189, 10, 255 on a calculator?

You can find the GCD of 231, 189, 10, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.