GCD of 289, 498, 216, 446 Calculator

Given Input numbers are 289, 498, 216, 446

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

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 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 289, 498, 216, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 498, 216, 446 is 1.

Therefore, GCD of numbers 289, 498, 216, 446 is 1

Given Input Data is 289, 498, 216, 446

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 498 is 2 x 3 x 83

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

Prime Factorization of 446 is 2 x 223

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(289, 498) = 143922

GCD(289, 498) = ( 289 x 498 ) / 143922

GCD(289, 498) = 143922 / 143922

GCD(289, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 289, 498, 216, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 754, 856, 995
• GCD of 909, 829, 845, 427
• GCD of 124, 991, 352, 436
• GCD of 881, 814, 394, 391
• GCD of 431, 228, 818, 430

1. What is the GCD of 289, 498, 216, 446?

GCD of 289, 498, 216, 446 is 1

2. Where do I get the detailed procedure to find GCD of 289, 498, 216, 446?

You can find a detailed procedure to find GCD of 289, 498, 216, 446 on our page.

3. How to find GCD of 289, 498, 216, 446 on a calculator?

You can find the GCD of 289, 498, 216, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.