GCD of 395, 354, 621, 344 Calculator

Given Input numbers are 395, 354, 621, 344

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 354

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

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

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 395, 354, 621, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 354, 621, 344 is 1.

Therefore, GCD of numbers 395, 354, 621, 344 is 1

Given Input Data is 395, 354, 621, 344

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(395, 354) = 139830

GCD(395, 354) = ( 395 x 354 ) / 139830

GCD(395, 354) = 139830 / 139830

GCD(395, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 621

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

LCM(1, 621) = 621

GCD(1, 621) = ( 1 x 621 ) / 621

GCD(1, 621) = 621 / 621

GCD(1, 621) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 395, 354, 621, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 656, 718, 621
• GCD of 518, 459, 679, 788
• GCD of 163, 811, 660, 252
• GCD of 593, 520, 876, 542
• GCD of 368, 884, 417, 173

1. What is the GCD of 395, 354, 621, 344?

GCD of 395, 354, 621, 344 is 1

2. Where do I get the detailed procedure to find GCD of 395, 354, 621, 344?

You can find a detailed procedure to find GCD of 395, 354, 621, 344 on our page.

3. How to find GCD of 395, 354, 621, 344 on a calculator?

You can find the GCD of 395, 354, 621, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.