GCD of 238, 185, 416, 199 Calculator

Given Input numbers are 238, 185, 416, 199

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 185

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

1, 5, 37, 185

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 238, 185, 416, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 185, 416, 199 is 1.

Therefore, GCD of numbers 238, 185, 416, 199 is 1

Given Input Data is 238, 185, 416, 199

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 185 is 5 x 37

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 199 is 199

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(238, 185) = 44030

GCD(238, 185) = ( 238 x 185 ) / 44030

GCD(238, 185) = 44030 / 44030

GCD(238, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 238, 185, 416, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 426, 386, 623
• GCD of 342, 529, 519, 958
• GCD of 802, 423, 875, 283
• GCD of 243, 336, 601, 100
• GCD of 748, 877, 571, 959

1. What is the GCD of 238, 185, 416, 199?

GCD of 238, 185, 416, 199 is 1

2. Where do I get the detailed procedure to find GCD of 238, 185, 416, 199?

You can find a detailed procedure to find GCD of 238, 185, 416, 199 on our page.

3. How to find GCD of 238, 185, 416, 199 on a calculator?

You can find the GCD of 238, 185, 416, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.