GCD of 317, 186, 559, 165 Calculator

Given Input numbers are 317, 186, 559, 165

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 317, 186, 559, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 186, 559, 165 is 1.

Therefore, GCD of numbers 317, 186, 559, 165 is 1

Given Input Data is 317, 186, 559, 165

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

Prime Factorization of 317 is 317

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 559 is 13 x 43

Prime Factorization of 165 is 3 x 5 x 11

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(317, 186) = 58962

GCD(317, 186) = ( 317 x 186 ) / 58962

GCD(317, 186) = 58962 / 58962

GCD(317, 186) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 317, 186, 559, 165 is 1

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1. What is the GCD of 317, 186, 559, 165?

GCD of 317, 186, 559, 165 is 1

2. Where do I get the detailed procedure to find GCD of 317, 186, 559, 165?

You can find a detailed procedure to find GCD of 317, 186, 559, 165 on our page.

3. How to find GCD of 317, 186, 559, 165 on a calculator?

You can find the GCD of 317, 186, 559, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.