GCD of 44, 72, 68, 16 Calculator

Given Input numbers are 44, 72, 68, 16

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 44, 72, 68, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 72, 68, 16 is 4.

Therefore, GCD of numbers 44, 72, 68, 16 is 4

Given Input Data is 44, 72, 68, 16

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 68 is 2 x 2 x 17

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(44, 72) = 792

GCD(44, 72) = ( 44 x 72 ) / 792

GCD(44, 72) = 3168 / 792

GCD(44, 72) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 68

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

LCM(4, 68) = 68

GCD(4, 68) = ( 4 x 68 ) / 68

GCD(4, 68) = 272 / 68

GCD(4, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 16

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

LCM(4, 16) = 16

GCD(4, 16) = ( 4 x 16 ) / 16

GCD(4, 16) = 64 / 16

GCD(4, 16) = 4

GCD of 44, 72, 68, 16 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 83, 76, 20
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• GCD of 91, 24, 56, 16
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• GCD of 31, 51, 51, 13

1. What is the GCD of 44, 72, 68, 16?

GCD of 44, 72, 68, 16 is 4

2. Where do I get the detailed procedure to find GCD of 44, 72, 68, 16?

You can find a detailed procedure to find GCD of 44, 72, 68, 16 on our page.

3. How to find GCD of 44, 72, 68, 16 on a calculator?

You can find the GCD of 44, 72, 68, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.