GCD of 814, 428, 297 Calculator

Given Input numbers are 814, 428, 297

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 814, 428, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 428, 297 is 1.

Therefore, GCD of numbers 814, 428, 297 is 1

Given Input Data is 814, 428, 297

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 428 is 2 x 2 x 107

Prime Factorization of 297 is 3 x 3 x 3 x 11

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, 428) = 174196

GCD(814, 428) = ( 814 x 428 ) / 174196

GCD(814, 428) = 348392 / 174196

GCD(814, 428) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

GCD of 814, 428, 297 is 1

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1. What is the GCD of 814, 428, 297?

GCD of 814, 428, 297 is 1

2. Where do I get the detailed procedure to find GCD of 814, 428, 297?

You can find a detailed procedure to find GCD of 814, 428, 297 on our page.

3. How to find GCD of 814, 428, 297 on a calculator?

You can find the GCD of 814, 428, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.