GCD of 908, 689, 38, 164 Calculator

Given Input numbers are 908, 689, 38, 164

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 164

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

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 908, 689, 38, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 689, 38, 164 is 1.

Therefore, GCD of numbers 908, 689, 38, 164 is 1

Given Input Data is 908, 689, 38, 164

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 689 is 13 x 53

Prime Factorization of 38 is 2 x 19

Prime Factorization of 164 is 2 x 2 x 41

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, 689) = 625612

GCD(908, 689) = ( 908 x 689 ) / 625612

GCD(908, 689) = 625612 / 625612

GCD(908, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 908, 689, 38, 164 is 1

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• GCD of 896, 109, 38, 903
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1. What is the GCD of 908, 689, 38, 164?

GCD of 908, 689, 38, 164 is 1

2. Where do I get the detailed procedure to find GCD of 908, 689, 38, 164?

You can find a detailed procedure to find GCD of 908, 689, 38, 164 on our page.

3. How to find GCD of 908, 689, 38, 164 on a calculator?

You can find the GCD of 908, 689, 38, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.