GCD of 307, 345, 108, 297 Calculator

Given Input numbers are 307, 345, 108, 297

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 345

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

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 307, 345, 108, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 345, 108, 297 is 1.

Therefore, GCD of numbers 307, 345, 108, 297 is 1

Given Input Data is 307, 345, 108, 297

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

Prime Factorization of 307 is 307

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(307, 345) = 105915

GCD(307, 345) = ( 307 x 345 ) / 105915

GCD(307, 345) = 105915 / 105915

GCD(307, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 307, 345, 108, 297 is 1

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1. What is the GCD of 307, 345, 108, 297?

GCD of 307, 345, 108, 297 is 1

2. Where do I get the detailed procedure to find GCD of 307, 345, 108, 297?

You can find a detailed procedure to find GCD of 307, 345, 108, 297 on our page.

3. How to find GCD of 307, 345, 108, 297 on a calculator?

You can find the GCD of 307, 345, 108, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.