GCD of 72, 994, 164, 404 Calculator

Given Input numbers are 72, 994, 164, 404

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

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 72, 994, 164, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 994, 164, 404 is 2.

Therefore, GCD of numbers 72, 994, 164, 404 is 2

Given Input Data is 72, 994, 164, 404

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

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 404 is 2 x 2 x 101

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(72, 994) = 35784

GCD(72, 994) = ( 72 x 994 ) / 35784

GCD(72, 994) = 71568 / 35784

GCD(72, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 72, 994, 164, 404 is 2

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• GCD of 84, 646, 220, 221
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• GCD of 88, 752, 943, 756

1. What is the GCD of 72, 994, 164, 404?

GCD of 72, 994, 164, 404 is 2

2. Where do I get the detailed procedure to find GCD of 72, 994, 164, 404?

You can find a detailed procedure to find GCD of 72, 994, 164, 404 on our page.

3. How to find GCD of 72, 994, 164, 404 on a calculator?

You can find the GCD of 72, 994, 164, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.