GCD of 108, 736, 44 Calculator

Given Input numbers are 108, 736, 44

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 44

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

1, 2, 4, 11, 22, 44

Greatest Common Divisior

We found the divisors of 108, 736, 44 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 736, 44 is 4.

Therefore, GCD of numbers 108, 736, 44 is 4

Given Input Data is 108, 736, 44

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 44 is 2 x 2 x 11

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(108, 736) = 19872

GCD(108, 736) = ( 108 x 736 ) / 19872

GCD(108, 736) = 79488 / 19872

GCD(108, 736) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 44

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

LCM(4, 44) = 44

GCD(4, 44) = ( 4 x 44 ) / 44

GCD(4, 44) = 176 / 44

GCD(4, 44) = 4

GCD of 108, 736, 44 is 4

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1. What is the GCD of 108, 736, 44?

GCD of 108, 736, 44 is 4

2. Where do I get the detailed procedure to find GCD of 108, 736, 44?

You can find a detailed procedure to find GCD of 108, 736, 44 on our page.

3. How to find GCD of 108, 736, 44 on a calculator?

You can find the GCD of 108, 736, 44 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.