GCD of 814, 458, 855 Calculator

Given Input numbers are 814, 458, 855

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 814, 458, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 458, 855 is 1.

Therefore, GCD of numbers 814, 458, 855 is 1

Given Input Data is 814, 458, 855

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 458 is 2 x 229

Prime Factorization of 855 is 3 x 3 x 5 x 19

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, 458) = 186406

GCD(814, 458) = ( 814 x 458 ) / 186406

GCD(814, 458) = 372812 / 186406

GCD(814, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 855

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

LCM(2, 855) = 1710

GCD(2, 855) = ( 2 x 855 ) / 1710

GCD(2, 855) = 1710 / 1710

GCD(2, 855) = 1

GCD of 814, 458, 855 is 1

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1. What is the GCD of 814, 458, 855?

GCD of 814, 458, 855 is 1

2. Where do I get the detailed procedure to find GCD of 814, 458, 855?

You can find a detailed procedure to find GCD of 814, 458, 855 on our page.

3. How to find GCD of 814, 458, 855 on a calculator?

You can find the GCD of 814, 458, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.