GCD of 506, 697, 542 Calculator

Given Input numbers are 506, 697, 542

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 506, 697, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 697, 542 is 1.

Therefore, GCD of numbers 506, 697, 542 is 1

Given Input Data is 506, 697, 542

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 697 is 17 x 41

Prime Factorization of 542 is 2 x 271

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(506, 697) = 352682

GCD(506, 697) = ( 506 x 697 ) / 352682

GCD(506, 697) = 352682 / 352682

GCD(506, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 506, 697, 542 is 1

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1. What is the GCD of 506, 697, 542?

GCD of 506, 697, 542 is 1

2. Where do I get the detailed procedure to find GCD of 506, 697, 542?

You can find a detailed procedure to find GCD of 506, 697, 542 on our page.

3. How to find GCD of 506, 697, 542 on a calculator?

You can find the GCD of 506, 697, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.