GCD of 390, 243, 37, 259 Calculator

Given Input numbers are 390, 243, 37, 259

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

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 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 390, 243, 37, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 243, 37, 259 is 1.

Therefore, GCD of numbers 390, 243, 37, 259 is 1

Given Input Data is 390, 243, 37, 259

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

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 37 is 37

Prime Factorization of 259 is 7 x 37

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(390, 243) = 31590

GCD(390, 243) = ( 390 x 243 ) / 31590

GCD(390, 243) = 94770 / 31590

GCD(390, 243) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 390, 243, 37, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 512, 93, 313
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• GCD of 993, 140, 64, 867
• GCD of 762, 516, 17, 936

1. What is the GCD of 390, 243, 37, 259?

GCD of 390, 243, 37, 259 is 1

2. Where do I get the detailed procedure to find GCD of 390, 243, 37, 259?

You can find a detailed procedure to find GCD of 390, 243, 37, 259 on our page.

3. How to find GCD of 390, 243, 37, 259 on a calculator?

You can find the GCD of 390, 243, 37, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.