GCD of 10, 176, 240, 808 Calculator

Given Input numbers are 10, 176, 240, 808

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 808

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

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

Greatest Common Divisior

We found the divisors of 10, 176, 240, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 176, 240, 808 is 2.

Therefore, GCD of numbers 10, 176, 240, 808 is 2

Given Input Data is 10, 176, 240, 808

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 176) = 880

GCD(10, 176) = ( 10 x 176 ) / 880

GCD(10, 176) = 1760 / 880

GCD(10, 176) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

GCD of 10, 176, 240, 808 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 878, 809, 310
• GCD of 50, 762, 606, 394
• GCD of 37, 905, 568, 657
• GCD of 55, 935, 177, 335
• GCD of 36, 230, 699, 958

1. What is the GCD of 10, 176, 240, 808?

GCD of 10, 176, 240, 808 is 2

2. Where do I get the detailed procedure to find GCD of 10, 176, 240, 808?

You can find a detailed procedure to find GCD of 10, 176, 240, 808 on our page.

3. How to find GCD of 10, 176, 240, 808 on a calculator?

You can find the GCD of 10, 176, 240, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.