GCD of 259, 849, 38, 180 Calculator

Given Input numbers are 259, 849, 38, 180

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 259, 849, 38, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 849, 38, 180 is 1.

Therefore, GCD of numbers 259, 849, 38, 180 is 1

Given Input Data is 259, 849, 38, 180

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 849 is 3 x 283

Prime Factorization of 38 is 2 x 19

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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(259, 849) = 219891

GCD(259, 849) = ( 259 x 849 ) / 219891

GCD(259, 849) = 219891 / 219891

GCD(259, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 259, 849, 38, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 855, 69, 300
• GCD of 135, 332, 62, 938
• GCD of 167, 565, 23, 565
• GCD of 503, 213, 80, 661
• GCD of 485, 735, 27, 331

1. What is the GCD of 259, 849, 38, 180?

GCD of 259, 849, 38, 180 is 1

2. Where do I get the detailed procedure to find GCD of 259, 849, 38, 180?

You can find a detailed procedure to find GCD of 259, 849, 38, 180 on our page.

3. How to find GCD of 259, 849, 38, 180 on a calculator?

You can find the GCD of 259, 849, 38, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.