GCD of 908, 164, 664, 133 Calculator

Given Input numbers are 908, 164, 664, 133

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

Divisors of 908

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

1, 2, 4, 227, 454, 908

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 908, 164, 664, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 164, 664, 133 is 1.

Therefore, GCD of numbers 908, 164, 664, 133 is 1

Given Input Data is 908, 164, 664, 133

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 133 is 7 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(908, 164) = 37228

GCD(908, 164) = ( 908 x 164 ) / 37228

GCD(908, 164) = 148912 / 37228

GCD(908, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 664

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

LCM(4, 664) = 664

GCD(4, 664) = ( 4 x 664 ) / 664

GCD(4, 664) = 2656 / 664

GCD(4, 664) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 133

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

LCM(4, 133) = 532

GCD(4, 133) = ( 4 x 133 ) / 532

GCD(4, 133) = 532 / 532

GCD(4, 133) = 1

GCD of 908, 164, 664, 133 is 1

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1. What is the GCD of 908, 164, 664, 133?

GCD of 908, 164, 664, 133 is 1

2. Where do I get the detailed procedure to find GCD of 908, 164, 664, 133?

You can find a detailed procedure to find GCD of 908, 164, 664, 133 on our page.

3. How to find GCD of 908, 164, 664, 133 on a calculator?

You can find the GCD of 908, 164, 664, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.