GCD of 345, 300, 313 Calculator

Given Input numbers are 345, 300, 313

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 345, 300, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 300, 313 is 1.

Therefore, GCD of numbers 345, 300, 313 is 1

Given Input Data is 345, 300, 313

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 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 313 is 313

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, 300) = 6900

GCD(345, 300) = ( 345 x 300 ) / 6900

GCD(345, 300) = 103500 / 6900

GCD(345, 300) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 313

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

LCM(15, 313) = 4695

GCD(15, 313) = ( 15 x 313 ) / 4695

GCD(15, 313) = 4695 / 4695

GCD(15, 313) = 1

GCD of 345, 300, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 860, 838
• GCD of 179, 932, 460
• GCD of 416, 414, 100
• GCD of 374, 724, 308
• GCD of 862, 750, 572

1. What is the GCD of 345, 300, 313?

GCD of 345, 300, 313 is 1

2. Where do I get the detailed procedure to find GCD of 345, 300, 313?

You can find a detailed procedure to find GCD of 345, 300, 313 on our page.

3. How to find GCD of 345, 300, 313 on a calculator?

You can find the GCD of 345, 300, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.