GCD of 226, 908, 132, 886 Calculator

Given Input numbers are 226, 908, 132, 886

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 226, 908, 132, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 908, 132, 886 is 2.

Therefore, GCD of numbers 226, 908, 132, 886 is 2

Given Input Data is 226, 908, 132, 886

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 886 is 2 x 443

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(226, 908) = 102604

GCD(226, 908) = ( 226 x 908 ) / 102604

GCD(226, 908) = 205208 / 102604

GCD(226, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 886

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

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

GCD(2, 886) = 1772 / 886

GCD(2, 886) = 2

GCD of 226, 908, 132, 886 is 2

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1. What is the GCD of 226, 908, 132, 886?

GCD of 226, 908, 132, 886 is 2

2. Where do I get the detailed procedure to find GCD of 226, 908, 132, 886?

You can find a detailed procedure to find GCD of 226, 908, 132, 886 on our page.

3. How to find GCD of 226, 908, 132, 886 on a calculator?

You can find the GCD of 226, 908, 132, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.