GCD of 338, 315, 699, 211 Calculator

Given Input numbers are 338, 315, 699, 211

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

Divisors of 338

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

1, 2, 13, 26, 169, 338

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 338, 315, 699, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 315, 699, 211 is 1.

Therefore, GCD of numbers 338, 315, 699, 211 is 1

Given Input Data is 338, 315, 699, 211

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

Prime Factorization of 338 is 2 x 13 x 13

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 211 is 211

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(338, 315) = 106470

GCD(338, 315) = ( 338 x 315 ) / 106470

GCD(338, 315) = 106470 / 106470

GCD(338, 315) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

GCD of 338, 315, 699, 211 is 1

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1. What is the GCD of 338, 315, 699, 211?

GCD of 338, 315, 699, 211 is 1

2. Where do I get the detailed procedure to find GCD of 338, 315, 699, 211?

You can find a detailed procedure to find GCD of 338, 315, 699, 211 on our page.

3. How to find GCD of 338, 315, 699, 211 on a calculator?

You can find the GCD of 338, 315, 699, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.