GCD of 159, 786, 209, 133 Calculator

Given Input numbers are 159, 786, 209, 133

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

Divisors of 159

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

1, 3, 53, 159

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 209

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

1, 11, 19, 209

Divisors of 133

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

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 159, 786, 209, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 786, 209, 133 is 1.

Therefore, GCD of numbers 159, 786, 209, 133 is 1

Given Input Data is 159, 786, 209, 133

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 209 is 11 x 19

Prime Factorization of 133 is 7 x 19

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(159, 786) = 41658

GCD(159, 786) = ( 159 x 786 ) / 41658

GCD(159, 786) = 124974 / 41658

GCD(159, 786) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 209

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

LCM(3, 209) = 627

GCD(3, 209) = ( 3 x 209 ) / 627

GCD(3, 209) = 627 / 627

GCD(3, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 159, 786, 209, 133 is 1

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1. What is the GCD of 159, 786, 209, 133?

GCD of 159, 786, 209, 133 is 1

2. Where do I get the detailed procedure to find GCD of 159, 786, 209, 133?

You can find a detailed procedure to find GCD of 159, 786, 209, 133 on our page.

3. How to find GCD of 159, 786, 209, 133 on a calculator?

You can find the GCD of 159, 786, 209, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.