GCD of 10, 808, 633, 918 Calculator

Given Input numbers are 10, 808, 633, 918

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

Divisors of 10

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

1, 2, 5, 10

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 10, 808, 633, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 808, 633, 918 is 1.

Therefore, GCD of numbers 10, 808, 633, 918 is 1

Given Input Data is 10, 808, 633, 918

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 633 is 3 x 211

Prime Factorization of 918 is 2 x 3 x 3 x 3 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(10, 808) = 4040

GCD(10, 808) = ( 10 x 808 ) / 4040

GCD(10, 808) = 8080 / 4040

GCD(10, 808) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 633

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

LCM(2, 633) = 1266

GCD(2, 633) = ( 2 x 633 ) / 1266

GCD(2, 633) = 1266 / 1266

GCD(2, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 10, 808, 633, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 622, 269, 320
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• GCD of 58, 393, 801, 650
• GCD of 56, 451, 150, 568
• GCD of 53, 225, 393, 709

1. What is the GCD of 10, 808, 633, 918?

GCD of 10, 808, 633, 918 is 1

2. Where do I get the detailed procedure to find GCD of 10, 808, 633, 918?

You can find a detailed procedure to find GCD of 10, 808, 633, 918 on our page.

3. How to find GCD of 10, 808, 633, 918 on a calculator?

You can find the GCD of 10, 808, 633, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.