GCD of 209, 342, 738 Calculator

Given Input numbers are 209, 342, 738

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

Divisors of 209

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

1, 11, 19, 209

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 209, 342, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 342, 738 is 1.

Therefore, GCD of numbers 209, 342, 738 is 1

Given Input Data is 209, 342, 738

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(209, 342) = 3762

GCD(209, 342) = ( 209 x 342 ) / 3762

GCD(209, 342) = 71478 / 3762

GCD(209, 342) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 738

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

LCM(19, 738) = 14022

GCD(19, 738) = ( 19 x 738 ) / 14022

GCD(19, 738) = 14022 / 14022

GCD(19, 738) = 1

GCD of 209, 342, 738 is 1

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1. What is the GCD of 209, 342, 738?

GCD of 209, 342, 738 is 1

2. Where do I get the detailed procedure to find GCD of 209, 342, 738?

You can find a detailed procedure to find GCD of 209, 342, 738 on our page.

3. How to find GCD of 209, 342, 738 on a calculator?

You can find the GCD of 209, 342, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.