GCD of 338, 697, 97, 212 Calculator

Given Input numbers are 338, 697, 97, 212

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 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 338, 697, 97, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 697, 97, 212 is 1.

Therefore, GCD of numbers 338, 697, 97, 212 is 1

Given Input Data is 338, 697, 97, 212

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 697 is 17 x 41

Prime Factorization of 97 is 97

Prime Factorization of 212 is 2 x 2 x 53

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, 697) = 235586

GCD(338, 697) = ( 338 x 697 ) / 235586

GCD(338, 697) = 235586 / 235586

GCD(338, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 338, 697, 97, 212 is 1

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1. What is the GCD of 338, 697, 97, 212?

GCD of 338, 697, 97, 212 is 1

2. Where do I get the detailed procedure to find GCD of 338, 697, 97, 212?

You can find a detailed procedure to find GCD of 338, 697, 97, 212 on our page.

3. How to find GCD of 338, 697, 97, 212 on a calculator?

You can find the GCD of 338, 697, 97, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.