GCD of 449, 856, 390, 354 Calculator

Given Input numbers are 449, 856, 390, 354

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

Divisors of 449

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

1, 449

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 449, 856, 390, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 856, 390, 354 is 1.

Therefore, GCD of numbers 449, 856, 390, 354 is 1

Given Input Data is 449, 856, 390, 354

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

Prime Factorization of 449 is 449

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 354 is 2 x 3 x 59

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(449, 856) = 384344

GCD(449, 856) = ( 449 x 856 ) / 384344

GCD(449, 856) = 384344 / 384344

GCD(449, 856) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 449, 856, 390, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 767, 396, 172
• GCD of 915, 615, 479, 473
• GCD of 117, 466, 104, 349
• GCD of 350, 129, 755, 681
• GCD of 909, 164, 169, 800

1. What is the GCD of 449, 856, 390, 354?

GCD of 449, 856, 390, 354 is 1

2. Where do I get the detailed procedure to find GCD of 449, 856, 390, 354?

You can find a detailed procedure to find GCD of 449, 856, 390, 354 on our page.

3. How to find GCD of 449, 856, 390, 354 on a calculator?

You can find the GCD of 449, 856, 390, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.