GCD of 35, 222, 449, 304 Calculator

Given Input numbers are 35, 222, 449, 304

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 35, 222, 449, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 222, 449, 304 is 1.

Therefore, GCD of numbers 35, 222, 449, 304 is 1

Given Input Data is 35, 222, 449, 304

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 449 is 449

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(35, 222) = 7770

GCD(35, 222) = ( 35 x 222 ) / 7770

GCD(35, 222) = 7770 / 7770

GCD(35, 222) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 35, 222, 449, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 349, 168, 915
• GCD of 65, 715, 279, 345
• GCD of 58, 370, 109, 307
• GCD of 52, 902, 191, 924
• GCD of 89, 250, 657, 355

1. What is the GCD of 35, 222, 449, 304?

GCD of 35, 222, 449, 304 is 1

2. Where do I get the detailed procedure to find GCD of 35, 222, 449, 304?

You can find a detailed procedure to find GCD of 35, 222, 449, 304 on our page.

3. How to find GCD of 35, 222, 449, 304 on a calculator?

You can find the GCD of 35, 222, 449, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.