GCD of 374, 318, 90, 449 Calculator

Given Input numbers are 374, 318, 90, 449

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 449

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

1, 449

Greatest Common Divisior

We found the divisors of 374, 318, 90, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 318, 90, 449 is 1.

Therefore, GCD of numbers 374, 318, 90, 449 is 1

Given Input Data is 374, 318, 90, 449

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 449 is 449

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(374, 318) = 59466

GCD(374, 318) = ( 374 x 318 ) / 59466

GCD(374, 318) = 118932 / 59466

GCD(374, 318) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 449

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

LCM(2, 449) = 898

GCD(2, 449) = ( 2 x 449 ) / 898

GCD(2, 449) = 898 / 898

GCD(2, 449) = 1

GCD of 374, 318, 90, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 891, 93, 411
• GCD of 917, 114, 26, 366
• GCD of 612, 544, 45, 157
• GCD of 338, 413, 87, 882
• GCD of 237, 328, 19, 142

1. What is the GCD of 374, 318, 90, 449?

GCD of 374, 318, 90, 449 is 1

2. Where do I get the detailed procedure to find GCD of 374, 318, 90, 449?

You can find a detailed procedure to find GCD of 374, 318, 90, 449 on our page.

3. How to find GCD of 374, 318, 90, 449 on a calculator?

You can find the GCD of 374, 318, 90, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.