GCD of 493, 609, 867, 679 Calculator

Given Input numbers are 493, 609, 867, 679

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 867

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

1, 3, 17, 51, 289, 867

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 493, 609, 867, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 609, 867, 679 is 1.

Therefore, GCD of numbers 493, 609, 867, 679 is 1

Given Input Data is 493, 609, 867, 679

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 679 is 7 x 97

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(493, 609) = 10353

GCD(493, 609) = ( 493 x 609 ) / 10353

GCD(493, 609) = 300237 / 10353

GCD(493, 609) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 867

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

LCM(29, 867) = 25143

GCD(29, 867) = ( 29 x 867 ) / 25143

GCD(29, 867) = 25143 / 25143

GCD(29, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 493, 609, 867, 679 is 1

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1. What is the GCD of 493, 609, 867, 679?

GCD of 493, 609, 867, 679 is 1

2. Where do I get the detailed procedure to find GCD of 493, 609, 867, 679?

You can find a detailed procedure to find GCD of 493, 609, 867, 679 on our page.

3. How to find GCD of 493, 609, 867, 679 on a calculator?

You can find the GCD of 493, 609, 867, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.