GCD of 345, 184, 675 Calculator

Given Input numbers are 345, 184, 675

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

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 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 345, 184, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 184, 675 is 1.

Therefore, GCD of numbers 345, 184, 675 is 1

Given Input Data is 345, 184, 675

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(345, 184) = 2760

GCD(345, 184) = ( 345 x 184 ) / 2760

GCD(345, 184) = 63480 / 2760

GCD(345, 184) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 675

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

LCM(23, 675) = 15525

GCD(23, 675) = ( 23 x 675 ) / 15525

GCD(23, 675) = 15525 / 15525

GCD(23, 675) = 1

GCD of 345, 184, 675 is 1

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1. What is the GCD of 345, 184, 675?

GCD of 345, 184, 675 is 1

2. Where do I get the detailed procedure to find GCD of 345, 184, 675?

You can find a detailed procedure to find GCD of 345, 184, 675 on our page.

3. How to find GCD of 345, 184, 675 on a calculator?

You can find the GCD of 345, 184, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.