GCD of 209, 321, 735 Calculator

Given Input numbers are 209, 321, 735

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 209, 321, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 321, 735 is 1.

Therefore, GCD of numbers 209, 321, 735 is 1

Given Input Data is 209, 321, 735

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 321 is 3 x 107

Prime Factorization of 735 is 3 x 5 x 7 x 7

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, 321) = 67089

GCD(209, 321) = ( 209 x 321 ) / 67089

GCD(209, 321) = 67089 / 67089

GCD(209, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 209, 321, 735 is 1

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1. What is the GCD of 209, 321, 735?

GCD of 209, 321, 735 is 1

2. Where do I get the detailed procedure to find GCD of 209, 321, 735?

You can find a detailed procedure to find GCD of 209, 321, 735 on our page.

3. How to find GCD of 209, 321, 735 on a calculator?

You can find the GCD of 209, 321, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.