GCD of 164, 404, 272 Calculator

Given Input numbers are 164, 404, 272

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

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 164, 404, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 404, 272 is 4.

Therefore, GCD of numbers 164, 404, 272 is 4

Given Input Data is 164, 404, 272

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(164, 404) = 16564

GCD(164, 404) = ( 164 x 404 ) / 16564

GCD(164, 404) = 66256 / 16564

GCD(164, 404) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 272

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

LCM(4, 272) = 272

GCD(4, 272) = ( 4 x 272 ) / 272

GCD(4, 272) = 1088 / 272

GCD(4, 272) = 4

GCD of 164, 404, 272 is 4

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1. What is the GCD of 164, 404, 272?

GCD of 164, 404, 272 is 4

2. Where do I get the detailed procedure to find GCD of 164, 404, 272?

You can find a detailed procedure to find GCD of 164, 404, 272 on our page.

3. How to find GCD of 164, 404, 272 on a calculator?

You can find the GCD of 164, 404, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.