GCD of 928, 218, 339 Calculator

Given Input numbers are 928, 218, 339

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 218

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

1, 2, 109, 218

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 928, 218, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 218, 339 is 1.

Therefore, GCD of numbers 928, 218, 339 is 1

Given Input Data is 928, 218, 339

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 218 is 2 x 109

Prime Factorization of 339 is 3 x 113

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(928, 218) = 101152

GCD(928, 218) = ( 928 x 218 ) / 101152

GCD(928, 218) = 202304 / 101152

GCD(928, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 339

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

LCM(2, 339) = 678

GCD(2, 339) = ( 2 x 339 ) / 678

GCD(2, 339) = 678 / 678

GCD(2, 339) = 1

GCD of 928, 218, 339 is 1

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1. What is the GCD of 928, 218, 339?

GCD of 928, 218, 339 is 1

2. Where do I get the detailed procedure to find GCD of 928, 218, 339?

You can find a detailed procedure to find GCD of 928, 218, 339 on our page.

3. How to find GCD of 928, 218, 339 on a calculator?

You can find the GCD of 928, 218, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.