GCD of 404, 728, 352, 364 Calculator

Given Input numbers are 404, 728, 352, 364

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 404, 728, 352, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 728, 352, 364 is 4.

Therefore, GCD of numbers 404, 728, 352, 364 is 4

Given Input Data is 404, 728, 352, 364

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 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 364 is 2 x 2 x 7 x 13

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, 728) = 73528

GCD(404, 728) = ( 404 x 728 ) / 73528

GCD(404, 728) = 294112 / 73528

GCD(404, 728) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 352

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

LCM(4, 352) = 352

GCD(4, 352) = ( 4 x 352 ) / 352

GCD(4, 352) = 1408 / 352

GCD(4, 352) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 364

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

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

GCD(4, 364) = 1456 / 364

GCD(4, 364) = 4

GCD of 404, 728, 352, 364 is 4

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1. What is the GCD of 404, 728, 352, 364?

GCD of 404, 728, 352, 364 is 4

2. Where do I get the detailed procedure to find GCD of 404, 728, 352, 364?

You can find a detailed procedure to find GCD of 404, 728, 352, 364 on our page.

3. How to find GCD of 404, 728, 352, 364 on a calculator?

You can find the GCD of 404, 728, 352, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.