GCD of 29, 218, 217, 558 Calculator

Given Input numbers are 29, 218, 217, 558

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

Divisors of 29

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

1, 29

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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 29, 218, 217, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 218, 217, 558 is 1.

Therefore, GCD of numbers 29, 218, 217, 558 is 1

Given Input Data is 29, 218, 217, 558

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

Prime Factorization of 29 is 29

Prime Factorization of 218 is 2 x 109

Prime Factorization of 217 is 7 x 31

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(29, 218) = 6322

GCD(29, 218) = ( 29 x 218 ) / 6322

GCD(29, 218) = 6322 / 6322

GCD(29, 218) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 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 29, 218, 217, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 163, 258, 241
• GCD of 97, 706, 574, 588
• GCD of 47, 608, 625, 397
• GCD of 77, 887, 223, 874
• GCD of 48, 472, 155, 218

1. What is the GCD of 29, 218, 217, 558?

GCD of 29, 218, 217, 558 is 1

2. Where do I get the detailed procedure to find GCD of 29, 218, 217, 558?

You can find a detailed procedure to find GCD of 29, 218, 217, 558 on our page.

3. How to find GCD of 29, 218, 217, 558 on a calculator?

You can find the GCD of 29, 218, 217, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.