GCD of 133, 209, 159, 838 Calculator

Given Input numbers are 133, 209, 159, 838

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 209

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

1, 11, 19, 209

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 133, 209, 159, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 209, 159, 838 is 1.

Therefore, GCD of numbers 133, 209, 159, 838 is 1

Given Input Data is 133, 209, 159, 838

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 209 is 11 x 19

Prime Factorization of 159 is 3 x 53

Prime Factorization of 838 is 2 x 419

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, 209) = 1463

GCD(133, 209) = ( 133 x 209 ) / 1463

GCD(133, 209) = 27797 / 1463

GCD(133, 209) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 159

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

LCM(19, 159) = 3021

GCD(19, 159) = ( 19 x 159 ) / 3021

GCD(19, 159) = 3021 / 3021

GCD(19, 159) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 133, 209, 159, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 323, 206, 938
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• GCD of 992, 227, 145, 657

1. What is the GCD of 133, 209, 159, 838?

GCD of 133, 209, 159, 838 is 1

2. Where do I get the detailed procedure to find GCD of 133, 209, 159, 838?

You can find a detailed procedure to find GCD of 133, 209, 159, 838 on our page.

3. How to find GCD of 133, 209, 159, 838 on a calculator?

You can find the GCD of 133, 209, 159, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.