GCD of 338, 503, 698, 207 Calculator

Given Input numbers are 338, 503, 698, 207

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 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 338, 503, 698, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 503, 698, 207 is 1.

Therefore, GCD of numbers 338, 503, 698, 207 is 1

Given Input Data is 338, 503, 698, 207

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 503 is 503

Prime Factorization of 698 is 2 x 349

Prime Factorization of 207 is 3 x 3 x 23

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, 503) = 170014

GCD(338, 503) = ( 338 x 503 ) / 170014

GCD(338, 503) = 170014 / 170014

GCD(338, 503) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 338, 503, 698, 207 is 1

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1. What is the GCD of 338, 503, 698, 207?

GCD of 338, 503, 698, 207 is 1

2. Where do I get the detailed procedure to find GCD of 338, 503, 698, 207?

You can find a detailed procedure to find GCD of 338, 503, 698, 207 on our page.

3. How to find GCD of 338, 503, 698, 207 on a calculator?

You can find the GCD of 338, 503, 698, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.