GCD of 697, 518, 29, 558 Calculator

Given Input numbers are 697, 518, 29, 558

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

Divisors of 697

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

1, 17, 41, 697

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 697, 518, 29, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 518, 29, 558 is 1.

Therefore, GCD of numbers 697, 518, 29, 558 is 1

Given Input Data is 697, 518, 29, 558

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 29 is 29

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(697, 518) = 361046

GCD(697, 518) = ( 697 x 518 ) / 361046

GCD(697, 518) = 361046 / 361046

GCD(697, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 697, 518, 29, 558 is 1

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1. What is the GCD of 697, 518, 29, 558?

GCD of 697, 518, 29, 558 is 1

2. Where do I get the detailed procedure to find GCD of 697, 518, 29, 558?

You can find a detailed procedure to find GCD of 697, 518, 29, 558 on our page.

3. How to find GCD of 697, 518, 29, 558 on a calculator?

You can find the GCD of 697, 518, 29, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.