GCD of 314, 891, 497 Calculator

Given Input numbers are 314, 891, 497

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 314, 891, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 891, 497 is 1.

Therefore, GCD of numbers 314, 891, 497 is 1

Given Input Data is 314, 891, 497

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 497 is 7 x 71

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(314, 891) = 279774

GCD(314, 891) = ( 314 x 891 ) / 279774

GCD(314, 891) = 279774 / 279774

GCD(314, 891) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 314, 891, 497 is 1

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1. What is the GCD of 314, 891, 497?

GCD of 314, 891, 497 is 1

2. Where do I get the detailed procedure to find GCD of 314, 891, 497?

You can find a detailed procedure to find GCD of 314, 891, 497 on our page.

3. How to find GCD of 314, 891, 497 on a calculator?

You can find the GCD of 314, 891, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.