GCD of 352, 344, 315, 218 Calculator

Given Input numbers are 352, 344, 315, 218

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 218

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

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 352, 344, 315, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 344, 315, 218 is 1.

Therefore, GCD of numbers 352, 344, 315, 218 is 1

Given Input Data is 352, 344, 315, 218

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 218 is 2 x 109

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(352, 344) = 15136

GCD(352, 344) = ( 352 x 344 ) / 15136

GCD(352, 344) = 121088 / 15136

GCD(352, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 315

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

LCM(8, 315) = 2520

GCD(8, 315) = ( 8 x 315 ) / 2520

GCD(8, 315) = 2520 / 2520

GCD(8, 315) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 352, 344, 315, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 756, 880, 306
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1. What is the GCD of 352, 344, 315, 218?

GCD of 352, 344, 315, 218 is 1

2. Where do I get the detailed procedure to find GCD of 352, 344, 315, 218?

You can find a detailed procedure to find GCD of 352, 344, 315, 218 on our page.

3. How to find GCD of 352, 344, 315, 218 on a calculator?

You can find the GCD of 352, 344, 315, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.