GCD of 438, 279, 16 Calculator

Given Input numbers are 438, 279, 16

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 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 438, 279, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 279, 16 is 1.

Therefore, GCD of numbers 438, 279, 16 is 1

Given Input Data is 438, 279, 16

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 279 is 3 x 3 x 31

Prime Factorization of 16 is 2 x 2 x 2 x 2

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, 279) = 40734

GCD(438, 279) = ( 438 x 279 ) / 40734

GCD(438, 279) = 122202 / 40734

GCD(438, 279) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

GCD of 438, 279, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 982, 31
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• GCD of 391, 380, 93
• GCD of 288, 356, 70
• GCD of 513, 116, 76

1. What is the GCD of 438, 279, 16?

GCD of 438, 279, 16 is 1

2. Where do I get the detailed procedure to find GCD of 438, 279, 16?

You can find a detailed procedure to find GCD of 438, 279, 16 on our page.

3. How to find GCD of 438, 279, 16 on a calculator?

You can find the GCD of 438, 279, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.