GCD of 805, 255, 10, 262 Calculator

Given Input numbers are 805, 255, 10, 262

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

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 10

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

1, 2, 5, 10

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 805, 255, 10, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 255, 10, 262 is 1.

Therefore, GCD of numbers 805, 255, 10, 262 is 1

Given Input Data is 805, 255, 10, 262

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 10 is 2 x 5

Prime Factorization of 262 is 2 x 131

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(805, 255) = 41055

GCD(805, 255) = ( 805 x 255 ) / 41055

GCD(805, 255) = 205275 / 41055

GCD(805, 255) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 10

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

LCM(5, 10) = 10

GCD(5, 10) = ( 5 x 10 ) / 10

GCD(5, 10) = 50 / 10

GCD(5, 10) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 262

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

LCM(5, 262) = 1310

GCD(5, 262) = ( 5 x 262 ) / 1310

GCD(5, 262) = 1310 / 1310

GCD(5, 262) = 1

GCD of 805, 255, 10, 262 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 902, 35, 362
• GCD of 724, 151, 73, 632
• GCD of 113, 215, 52, 323
• GCD of 623, 593, 54, 316
• GCD of 491, 725, 73, 715

1. What is the GCD of 805, 255, 10, 262?

GCD of 805, 255, 10, 262 is 1

2. Where do I get the detailed procedure to find GCD of 805, 255, 10, 262?

You can find a detailed procedure to find GCD of 805, 255, 10, 262 on our page.

3. How to find GCD of 805, 255, 10, 262 on a calculator?

You can find the GCD of 805, 255, 10, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.