GCD of 318, 266, 459, 345 Calculator

Given Input numbers are 318, 266, 459, 345

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 318, 266, 459, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 266, 459, 345 is 1.

Therefore, GCD of numbers 318, 266, 459, 345 is 1

Given Input Data is 318, 266, 459, 345

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 345 is 3 x 5 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(318, 266) = 42294

GCD(318, 266) = ( 318 x 266 ) / 42294

GCD(318, 266) = 84588 / 42294

GCD(318, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 318, 266, 459, 345 is 1

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1. What is the GCD of 318, 266, 459, 345?

GCD of 318, 266, 459, 345 is 1

2. Where do I get the detailed procedure to find GCD of 318, 266, 459, 345?

You can find a detailed procedure to find GCD of 318, 266, 459, 345 on our page.

3. How to find GCD of 318, 266, 459, 345 on a calculator?

You can find the GCD of 318, 266, 459, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.