GCD of 806, 536, 255, 270 Calculator

Given Input numbers are 806, 536, 255, 270

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 255

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

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 806, 536, 255, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 536, 255, 270 is 1.

Therefore, GCD of numbers 806, 536, 255, 270 is 1

Given Input Data is 806, 536, 255, 270

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(806, 536) = 216008

GCD(806, 536) = ( 806 x 536 ) / 216008

GCD(806, 536) = 432016 / 216008

GCD(806, 536) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 255

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

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

GCD(2, 255) = 510 / 510

GCD(2, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 806, 536, 255, 270 is 1

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1. What is the GCD of 806, 536, 255, 270?

GCD of 806, 536, 255, 270 is 1

2. Where do I get the detailed procedure to find GCD of 806, 536, 255, 270?

You can find a detailed procedure to find GCD of 806, 536, 255, 270 on our page.

3. How to find GCD of 806, 536, 255, 270 on a calculator?

You can find the GCD of 806, 536, 255, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.