GCD of 814, 203, 298 Calculator

Given Input numbers are 814, 203, 298

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

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 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 814, 203, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 203, 298 is 1.

Therefore, GCD of numbers 814, 203, 298 is 1

Given Input Data is 814, 203, 298

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 203 is 7 x 29

Prime Factorization of 298 is 2 x 149

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(814, 203) = 165242

GCD(814, 203) = ( 814 x 203 ) / 165242

GCD(814, 203) = 165242 / 165242

GCD(814, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 814, 203, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 221, 410
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• GCD of 594, 199, 651
• GCD of 574, 419, 954

1. What is the GCD of 814, 203, 298?

GCD of 814, 203, 298 is 1

2. Where do I get the detailed procedure to find GCD of 814, 203, 298?

You can find a detailed procedure to find GCD of 814, 203, 298 on our page.

3. How to find GCD of 814, 203, 298 on a calculator?

You can find the GCD of 814, 203, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.