GCD of 491, 314, 917 Calculator

Given Input numbers are 491, 314, 917

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 314

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

1, 2, 157, 314

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 491, 314, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 314, 917 is 1.

Therefore, GCD of numbers 491, 314, 917 is 1

Given Input Data is 491, 314, 917

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

Prime Factorization of 491 is 491

Prime Factorization of 314 is 2 x 157

Prime Factorization of 917 is 7 x 131

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(491, 314) = 154174

GCD(491, 314) = ( 491 x 314 ) / 154174

GCD(491, 314) = 154174 / 154174

GCD(491, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 491, 314, 917 is 1

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• GCD of 698, 674, 333
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1. What is the GCD of 491, 314, 917?

GCD of 491, 314, 917 is 1

2. Where do I get the detailed procedure to find GCD of 491, 314, 917?

You can find a detailed procedure to find GCD of 491, 314, 917 on our page.

3. How to find GCD of 491, 314, 917 on a calculator?

You can find the GCD of 491, 314, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.