GCD of 16, 984, 626, 392 Calculator

Given Input numbers are 16, 984, 626, 392

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

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 16, 984, 626, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 984, 626, 392 is 2.

Therefore, GCD of numbers 16, 984, 626, 392 is 2

Given Input Data is 16, 984, 626, 392

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

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 626 is 2 x 313

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(16, 984) = 1968

GCD(16, 984) = ( 16 x 984 ) / 1968

GCD(16, 984) = 15744 / 1968

GCD(16, 984) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 626

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

LCM(8, 626) = 2504

GCD(8, 626) = ( 8 x 626 ) / 2504

GCD(8, 626) = 5008 / 2504

GCD(8, 626) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 16, 984, 626, 392 is 2

Here are some samples of GCD of Numbers calculations.

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• GCD of 64, 287, 790, 168

1. What is the GCD of 16, 984, 626, 392?

GCD of 16, 984, 626, 392 is 2

2. Where do I get the detailed procedure to find GCD of 16, 984, 626, 392?

You can find a detailed procedure to find GCD of 16, 984, 626, 392 on our page.

3. How to find GCD of 16, 984, 626, 392 on a calculator?

You can find the GCD of 16, 984, 626, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.