GCD of 567, 614, 494 Calculator

Given Input numbers are 567, 614, 494

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 567, 614, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 614, 494 is 1.

Therefore, GCD of numbers 567, 614, 494 is 1

Given Input Data is 567, 614, 494

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 614 is 2 x 307

Prime Factorization of 494 is 2 x 13 x 19

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(567, 614) = 348138

GCD(567, 614) = ( 567 x 614 ) / 348138

GCD(567, 614) = 348138 / 348138

GCD(567, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 567, 614, 494 is 1

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1. What is the GCD of 567, 614, 494?

GCD of 567, 614, 494 is 1

2. Where do I get the detailed procedure to find GCD of 567, 614, 494?

You can find a detailed procedure to find GCD of 567, 614, 494 on our page.

3. How to find GCD of 567, 614, 494 on a calculator?

You can find the GCD of 567, 614, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.