GCD of 997, 916, 814 Calculator

Given Input numbers are 997, 916, 814

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 997, 916, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 916, 814 is 1.

Therefore, GCD of numbers 997, 916, 814 is 1

Given Input Data is 997, 916, 814

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

Prime Factorization of 997 is 997

Prime Factorization of 916 is 2 x 2 x 229

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(997, 916) = 913252

GCD(997, 916) = ( 997 x 916 ) / 913252

GCD(997, 916) = 913252 / 913252

GCD(997, 916) = 1

Step2:

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 997, 916, 814 is 1

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• GCD of 301, 777, 318
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1. What is the GCD of 997, 916, 814?

GCD of 997, 916, 814 is 1

2. Where do I get the detailed procedure to find GCD of 997, 916, 814?

You can find a detailed procedure to find GCD of 997, 916, 814 on our page.

3. How to find GCD of 997, 916, 814 on a calculator?

You can find the GCD of 997, 916, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.