GCD of 382, 636, 72, 104 Calculator

Given Input numbers are 382, 636, 72, 104

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 382, 636, 72, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 636, 72, 104 is 2.

Therefore, GCD of numbers 382, 636, 72, 104 is 2

Given Input Data is 382, 636, 72, 104

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 636 is 2 x 2 x 3 x 53

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

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(382, 636) = 121476

GCD(382, 636) = ( 382 x 636 ) / 121476

GCD(382, 636) = 242952 / 121476

GCD(382, 636) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

GCD of 382, 636, 72, 104 is 2

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1. What is the GCD of 382, 636, 72, 104?

GCD of 382, 636, 72, 104 is 2

2. Where do I get the detailed procedure to find GCD of 382, 636, 72, 104?

You can find a detailed procedure to find GCD of 382, 636, 72, 104 on our page.

3. How to find GCD of 382, 636, 72, 104 on a calculator?

You can find the GCD of 382, 636, 72, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.