GCD of 298, 387, 447, 814 Calculator

Given Input numbers are 298, 387, 447, 814

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 814

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

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

Greatest Common Divisior

We found the divisors of 298, 387, 447, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 387, 447, 814 is 1.

Therefore, GCD of numbers 298, 387, 447, 814 is 1

Given Input Data is 298, 387, 447, 814

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 447 is 3 x 149

Prime Factorization of 814 is 2 x 11 x 37

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(298, 387) = 115326

GCD(298, 387) = ( 298 x 387 ) / 115326

GCD(298, 387) = 115326 / 115326

GCD(298, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 298, 387, 447, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 569, 886, 770
• GCD of 963, 578, 915, 278
• GCD of 119, 783, 350, 436
• GCD of 761, 523, 980, 224
• GCD of 216, 315, 702, 310

1. What is the GCD of 298, 387, 447, 814?

GCD of 298, 387, 447, 814 is 1

2. Where do I get the detailed procedure to find GCD of 298, 387, 447, 814?

You can find a detailed procedure to find GCD of 298, 387, 447, 814 on our page.

3. How to find GCD of 298, 387, 447, 814 on a calculator?

You can find the GCD of 298, 387, 447, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.