GCD of 216, 898, 363, 880 Calculator

Given Input numbers are 216, 898, 363, 880

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 216, 898, 363, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 898, 363, 880 is 1.

Therefore, GCD of numbers 216, 898, 363, 880 is 1

Given Input Data is 216, 898, 363, 880

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 898 is 2 x 449

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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(216, 898) = 96984

GCD(216, 898) = ( 216 x 898 ) / 96984

GCD(216, 898) = 193968 / 96984

GCD(216, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 363

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

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

GCD(2, 363) = 726 / 726

GCD(2, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

GCD of 216, 898, 363, 880 is 1

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1. What is the GCD of 216, 898, 363, 880?

GCD of 216, 898, 363, 880 is 1

2. Where do I get the detailed procedure to find GCD of 216, 898, 363, 880?

You can find a detailed procedure to find GCD of 216, 898, 363, 880 on our page.

3. How to find GCD of 216, 898, 363, 880 on a calculator?

You can find the GCD of 216, 898, 363, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.