GCD of 199, 814, 85, 413 Calculator

Given Input numbers are 199, 814, 85, 413

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

Divisors of 199

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

1, 199

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 199, 814, 85, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 814, 85, 413 is 1.

Therefore, GCD of numbers 199, 814, 85, 413 is 1

Given Input Data is 199, 814, 85, 413

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

Prime Factorization of 199 is 199

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 85 is 5 x 17

Prime Factorization of 413 is 7 x 59

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(199, 814) = 161986

GCD(199, 814) = ( 199 x 814 ) / 161986

GCD(199, 814) = 161986 / 161986

GCD(199, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 199, 814, 85, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 566, 62, 253
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• GCD of 994, 284, 50, 741
• GCD of 680, 613, 66, 880
• GCD of 268, 440, 65, 555

1. What is the GCD of 199, 814, 85, 413?

GCD of 199, 814, 85, 413 is 1

2. Where do I get the detailed procedure to find GCD of 199, 814, 85, 413?

You can find a detailed procedure to find GCD of 199, 814, 85, 413 on our page.

3. How to find GCD of 199, 814, 85, 413 on a calculator?

You can find the GCD of 199, 814, 85, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.