GCD of 169, 264, 309 Calculator

Given Input numbers are 169, 264, 309

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 169, 264, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 264, 309 is 1.

Therefore, GCD of numbers 169, 264, 309 is 1

Given Input Data is 169, 264, 309

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 309 is 3 x 103

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(169, 264) = 44616

GCD(169, 264) = ( 169 x 264 ) / 44616

GCD(169, 264) = 44616 / 44616

GCD(169, 264) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 169, 264, 309 is 1

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1. What is the GCD of 169, 264, 309?

GCD of 169, 264, 309 is 1

2. Where do I get the detailed procedure to find GCD of 169, 264, 309?

You can find a detailed procedure to find GCD of 169, 264, 309 on our page.

3. How to find GCD of 169, 264, 309 on a calculator?

You can find the GCD of 169, 264, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.