GCD of 14, 397, 574, 622 Calculator

Given Input numbers are 14, 397, 574, 622

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 14, 397, 574, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 397, 574, 622 is 1.

Therefore, GCD of numbers 14, 397, 574, 622 is 1

Given Input Data is 14, 397, 574, 622

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 397 is 397

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 622 is 2 x 311

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(14, 397) = 5558

GCD(14, 397) = ( 14 x 397 ) / 5558

GCD(14, 397) = 5558 / 5558

GCD(14, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 622

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

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

GCD(1, 622) = 622 / 622

GCD(1, 622) = 1

GCD of 14, 397, 574, 622 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 219, 311, 536
• GCD of 77, 521, 510, 395
• GCD of 98, 958, 940, 364
• GCD of 67, 946, 621, 652
• GCD of 15, 891, 212, 474

1. What is the GCD of 14, 397, 574, 622?

GCD of 14, 397, 574, 622 is 1

2. Where do I get the detailed procedure to find GCD of 14, 397, 574, 622?

You can find a detailed procedure to find GCD of 14, 397, 574, 622 on our page.

3. How to find GCD of 14, 397, 574, 622 on a calculator?

You can find the GCD of 14, 397, 574, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.