GCD of 438, 284, 40, 905 Calculator

Given Input numbers are 438, 284, 40, 905

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 438, 284, 40, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 284, 40, 905 is 1.

Therefore, GCD of numbers 438, 284, 40, 905 is 1

Given Input Data is 438, 284, 40, 905

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 284 is 2 x 2 x 71

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 905 is 5 x 181

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, 284) = 62196

GCD(438, 284) = ( 438 x 284 ) / 62196

GCD(438, 284) = 124392 / 62196

GCD(438, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 905

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

LCM(2, 905) = 1810

GCD(2, 905) = ( 2 x 905 ) / 1810

GCD(2, 905) = 1810 / 1810

GCD(2, 905) = 1

GCD of 438, 284, 40, 905 is 1

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• GCD of 662, 513, 73, 519
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1. What is the GCD of 438, 284, 40, 905?

GCD of 438, 284, 40, 905 is 1

2. Where do I get the detailed procedure to find GCD of 438, 284, 40, 905?

You can find a detailed procedure to find GCD of 438, 284, 40, 905 on our page.

3. How to find GCD of 438, 284, 40, 905 on a calculator?

You can find the GCD of 438, 284, 40, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.