GCD of 133, 503, 209, 113 Calculator

Given Input numbers are 133, 503, 209, 113

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

Divisors of 133

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

1, 7, 19, 133

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 133, 503, 209, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 503, 209, 113 is 1.

Therefore, GCD of numbers 133, 503, 209, 113 is 1

Given Input Data is 133, 503, 209, 113

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 503 is 503

Prime Factorization of 209 is 11 x 19

Prime Factorization of 113 is 113

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(133, 503) = 66899

GCD(133, 503) = ( 133 x 503 ) / 66899

GCD(133, 503) = 66899 / 66899

GCD(133, 503) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 133, 503, 209, 113 is 1

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1. What is the GCD of 133, 503, 209, 113?

GCD of 133, 503, 209, 113 is 1

2. Where do I get the detailed procedure to find GCD of 133, 503, 209, 113?

You can find a detailed procedure to find GCD of 133, 503, 209, 113 on our page.

3. How to find GCD of 133, 503, 209, 113 on a calculator?

You can find the GCD of 133, 503, 209, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.