GCD of 397, 730, 378, 214 Calculator

Given Input numbers are 397, 730, 378, 214

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

Divisors of 397

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

1, 397

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 397, 730, 378, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 730, 378, 214 is 1.

Therefore, GCD of numbers 397, 730, 378, 214 is 1

Given Input Data is 397, 730, 378, 214

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

Prime Factorization of 397 is 397

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 214 is 2 x 107

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(397, 730) = 289810

GCD(397, 730) = ( 397 x 730 ) / 289810

GCD(397, 730) = 289810 / 289810

GCD(397, 730) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 397, 730, 378, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 195, 768, 821
• GCD of 521, 725, 379, 512
• GCD of 287, 356, 198, 649
• GCD of 520, 819, 551, 574
• GCD of 137, 358, 553, 272

1. What is the GCD of 397, 730, 378, 214?

GCD of 397, 730, 378, 214 is 1

2. Where do I get the detailed procedure to find GCD of 397, 730, 378, 214?

You can find a detailed procedure to find GCD of 397, 730, 378, 214 on our page.

3. How to find GCD of 397, 730, 378, 214 on a calculator?

You can find the GCD of 397, 730, 378, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.