GCD of 404, 152, 182, 182 Calculator

Given Input numbers are 404, 152, 182, 182

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 404, 152, 182, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 152, 182, 182 is 2.

Therefore, GCD of numbers 404, 152, 182, 182 is 2

Given Input Data is 404, 152, 182, 182

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 152 is 2 x 2 x 2 x 19

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 182 is 2 x 7 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(404, 152) = 15352

GCD(404, 152) = ( 404 x 152 ) / 15352

GCD(404, 152) = 61408 / 15352

GCD(404, 152) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 182

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

LCM(4, 182) = 364

GCD(4, 182) = ( 4 x 182 ) / 364

GCD(4, 182) = 728 / 364

GCD(4, 182) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 182

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

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

GCD(2, 182) = 364 / 182

GCD(2, 182) = 2

GCD of 404, 152, 182, 182 is 2

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1. What is the GCD of 404, 152, 182, 182?

GCD of 404, 152, 182, 182 is 2

2. Where do I get the detailed procedure to find GCD of 404, 152, 182, 182?

You can find a detailed procedure to find GCD of 404, 152, 182, 182 on our page.

3. How to find GCD of 404, 152, 182, 182 on a calculator?

You can find the GCD of 404, 152, 182, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.