GCD of 482, 748, 209 Calculator

Given Input numbers are 482, 748, 209

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

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 482, 748, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 748, 209 is 1.

Therefore, GCD of numbers 482, 748, 209 is 1

Given Input Data is 482, 748, 209

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

Prime Factorization of 482 is 2 x 241

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 209 is 11 x 19

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(482, 748) = 180268

GCD(482, 748) = ( 482 x 748 ) / 180268

GCD(482, 748) = 360536 / 180268

GCD(482, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

GCD of 482, 748, 209 is 1

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1. What is the GCD of 482, 748, 209?

GCD of 482, 748, 209 is 1

2. Where do I get the detailed procedure to find GCD of 482, 748, 209?

You can find a detailed procedure to find GCD of 482, 748, 209 on our page.

3. How to find GCD of 482, 748, 209 on a calculator?

You can find the GCD of 482, 748, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.