GCD of 390, 738, 43, 839 Calculator

Given Input numbers are 390, 738, 43, 839

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Greatest Common Divisior

We found the divisors of 390, 738, 43, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 738, 43, 839 is 1.

Therefore, GCD of numbers 390, 738, 43, 839 is 1

Given Input Data is 390, 738, 43, 839

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 43 is 43

Prime Factorization of 839 is 839

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, 738) = 47970

GCD(390, 738) = ( 390 x 738 ) / 47970

GCD(390, 738) = 287820 / 47970

GCD(390, 738) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 43

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

LCM(6, 43) = 258

GCD(6, 43) = ( 6 x 43 ) / 258

GCD(6, 43) = 258 / 258

GCD(6, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 839

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

LCM(1, 839) = 839

GCD(1, 839) = ( 1 x 839 ) / 839

GCD(1, 839) = 839 / 839

GCD(1, 839) = 1

GCD of 390, 738, 43, 839 is 1

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1. What is the GCD of 390, 738, 43, 839?

GCD of 390, 738, 43, 839 is 1

2. Where do I get the detailed procedure to find GCD of 390, 738, 43, 839?

You can find a detailed procedure to find GCD of 390, 738, 43, 839 on our page.

3. How to find GCD of 390, 738, 43, 839 on a calculator?

You can find the GCD of 390, 738, 43, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.