GCD of 344, 217, 338, 864 Calculator

Given Input numbers are 344, 217, 338, 864

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 217

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

1, 7, 31, 217

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 344, 217, 338, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 217, 338, 864 is 1.

Therefore, GCD of numbers 344, 217, 338, 864 is 1

Given Input Data is 344, 217, 338, 864

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 217 is 7 x 31

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(344, 217) = 74648

GCD(344, 217) = ( 344 x 217 ) / 74648

GCD(344, 217) = 74648 / 74648

GCD(344, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 344, 217, 338, 864 is 1

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1. What is the GCD of 344, 217, 338, 864?

GCD of 344, 217, 338, 864 is 1

2. Where do I get the detailed procedure to find GCD of 344, 217, 338, 864?

You can find a detailed procedure to find GCD of 344, 217, 338, 864 on our page.

3. How to find GCD of 344, 217, 338, 864 on a calculator?

You can find the GCD of 344, 217, 338, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.