GCD of 218, 844, 351, 171 Calculator

Given Input numbers are 218, 844, 351, 171

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

Divisors of 218

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

1, 2, 109, 218

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 218, 844, 351, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 844, 351, 171 is 1.

Therefore, GCD of numbers 218, 844, 351, 171 is 1

Given Input Data is 218, 844, 351, 171

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 171 is 3 x 3 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(218, 844) = 91996

GCD(218, 844) = ( 218 x 844 ) / 91996

GCD(218, 844) = 183992 / 91996

GCD(218, 844) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 351

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

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

GCD(2, 351) = 702 / 702

GCD(2, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 218, 844, 351, 171 is 1

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1. What is the GCD of 218, 844, 351, 171?

GCD of 218, 844, 351, 171 is 1

2. Where do I get the detailed procedure to find GCD of 218, 844, 351, 171?

You can find a detailed procedure to find GCD of 218, 844, 351, 171 on our page.

3. How to find GCD of 218, 844, 351, 171 on a calculator?

You can find the GCD of 218, 844, 351, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.