GCD of 491, 566, 597, 867 Calculator

Given Input numbers are 491, 566, 597, 867

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 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 491, 566, 597, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 566, 597, 867 is 1.

Therefore, GCD of numbers 491, 566, 597, 867 is 1

Given Input Data is 491, 566, 597, 867

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

Prime Factorization of 491 is 491

Prime Factorization of 566 is 2 x 283

Prime Factorization of 597 is 3 x 199

Prime Factorization of 867 is 3 x 17 x 17

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, 566) = 277906

GCD(491, 566) = ( 491 x 566 ) / 277906

GCD(491, 566) = 277906 / 277906

GCD(491, 566) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 491, 566, 597, 867 is 1

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1. What is the GCD of 491, 566, 597, 867?

GCD of 491, 566, 597, 867 is 1

2. Where do I get the detailed procedure to find GCD of 491, 566, 597, 867?

You can find a detailed procedure to find GCD of 491, 566, 597, 867 on our page.

3. How to find GCD of 491, 566, 597, 867 on a calculator?

You can find the GCD of 491, 566, 597, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.