GCD of 366, 826, 404 Calculator

Given Input numbers are 366, 826, 404

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

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 366, 826, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 826, 404 is 2.

Therefore, GCD of numbers 366, 826, 404 is 2

Given Input Data is 366, 826, 404

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 826 is 2 x 7 x 59

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(366, 826) = 151158

GCD(366, 826) = ( 366 x 826 ) / 151158

GCD(366, 826) = 302316 / 151158

GCD(366, 826) = 2

Step2:

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 366, 826, 404 is 2

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1. What is the GCD of 366, 826, 404?

GCD of 366, 826, 404 is 2

2. Where do I get the detailed procedure to find GCD of 366, 826, 404?

You can find a detailed procedure to find GCD of 366, 826, 404 on our page.

3. How to find GCD of 366, 826, 404 on a calculator?

You can find the GCD of 366, 826, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.