GCD of 438, 845, 741, 390 Calculator

Given Input numbers are 438, 845, 741, 390

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

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

Greatest Common Divisior

We found the divisors of 438, 845, 741, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 845, 741, 390 is 1.

Therefore, GCD of numbers 438, 845, 741, 390 is 1

Given Input Data is 438, 845, 741, 390

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 741 is 3 x 13 x 19

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

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(438, 845) = 370110

GCD(438, 845) = ( 438 x 845 ) / 370110

GCD(438, 845) = 370110 / 370110

GCD(438, 845) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 438, 845, 741, 390 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 797, 510, 311
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• GCD of 452, 798, 372, 144
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• GCD of 129, 712, 426, 466

1. What is the GCD of 438, 845, 741, 390?

GCD of 438, 845, 741, 390 is 1

2. Where do I get the detailed procedure to find GCD of 438, 845, 741, 390?

You can find a detailed procedure to find GCD of 438, 845, 741, 390 on our page.

3. How to find GCD of 438, 845, 741, 390 on a calculator?

You can find the GCD of 438, 845, 741, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.