GCD of 286, 369, 10, 255 Calculator

Given Input numbers are 286, 369, 10, 255

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

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 286, 369, 10, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 369, 10, 255 is 1.

Therefore, GCD of numbers 286, 369, 10, 255 is 1

Given Input Data is 286, 369, 10, 255

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 369 is 3 x 3 x 41

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(286, 369) = 105534

GCD(286, 369) = ( 286 x 369 ) / 105534

GCD(286, 369) = 105534 / 105534

GCD(286, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 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 286, 369, 10, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 780, 51, 569
• GCD of 697, 728, 29, 486
• GCD of 204, 479, 55, 707
• GCD of 868, 869, 35, 999
• GCD of 307, 252, 42, 135

1. What is the GCD of 286, 369, 10, 255?

GCD of 286, 369, 10, 255 is 1

2. Where do I get the detailed procedure to find GCD of 286, 369, 10, 255?

You can find a detailed procedure to find GCD of 286, 369, 10, 255 on our page.

3. How to find GCD of 286, 369, 10, 255 on a calculator?

You can find the GCD of 286, 369, 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.