GCD of 166, 116, 531, 349 Calculator

Given Input numbers are 166, 116, 531, 349

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

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 166, 116, 531, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 116, 531, 349 is 1.

Therefore, GCD of numbers 166, 116, 531, 349 is 1

Given Input Data is 166, 116, 531, 349

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 349 is 349

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(166, 116) = 9628

GCD(166, 116) = ( 166 x 116 ) / 9628

GCD(166, 116) = 19256 / 9628

GCD(166, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 531

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

LCM(2, 531) = 1062

GCD(2, 531) = ( 2 x 531 ) / 1062

GCD(2, 531) = 1062 / 1062

GCD(2, 531) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 166, 116, 531, 349 is 1

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1. What is the GCD of 166, 116, 531, 349?

GCD of 166, 116, 531, 349 is 1

2. Where do I get the detailed procedure to find GCD of 166, 116, 531, 349?

You can find a detailed procedure to find GCD of 166, 116, 531, 349 on our page.

3. How to find GCD of 166, 116, 531, 349 on a calculator?

You can find the GCD of 166, 116, 531, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.