GCD of 185, 209, 42, 306 Calculator

Given Input numbers are 185, 209, 42, 306

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 209

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

1, 11, 19, 209

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 185, 209, 42, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 209, 42, 306 is 1.

Therefore, GCD of numbers 185, 209, 42, 306 is 1

Given Input Data is 185, 209, 42, 306

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 209 is 11 x 19

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(185, 209) = 38665

GCD(185, 209) = ( 185 x 209 ) / 38665

GCD(185, 209) = 38665 / 38665

GCD(185, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 185, 209, 42, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 947, 96, 669
• GCD of 373, 737, 26, 522
• GCD of 892, 431, 98, 793
• GCD of 549, 858, 86, 133
• GCD of 238, 119, 74, 455

1. What is the GCD of 185, 209, 42, 306?

GCD of 185, 209, 42, 306 is 1

2. Where do I get the detailed procedure to find GCD of 185, 209, 42, 306?

You can find a detailed procedure to find GCD of 185, 209, 42, 306 on our page.

3. How to find GCD of 185, 209, 42, 306 on a calculator?

You can find the GCD of 185, 209, 42, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.