GCD of 404, 220, 72 Calculator

Given Input numbers are 404, 220, 72

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

Divisors of 404

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

1, 2, 4, 101, 202, 404

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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

Greatest Common Divisior

We found the divisors of 404, 220, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 220, 72 is 4.

Therefore, GCD of numbers 404, 220, 72 is 4

Given Input Data is 404, 220, 72

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 220 is 2 x 2 x 5 x 11

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

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(404, 220) = 22220

GCD(404, 220) = ( 404 x 220 ) / 22220

GCD(404, 220) = 88880 / 22220

GCD(404, 220) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

GCD of 404, 220, 72 is 4

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1. What is the GCD of 404, 220, 72?

GCD of 404, 220, 72 is 4

2. Where do I get the detailed procedure to find GCD of 404, 220, 72?

You can find a detailed procedure to find GCD of 404, 220, 72 on our page.

3. How to find GCD of 404, 220, 72 on a calculator?

You can find the GCD of 404, 220, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.