GCD of 300, 309, 473, 560 Calculator

Given Input numbers are 300, 309, 473, 560

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

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 309

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

1, 3, 103, 309

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 300, 309, 473, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 309, 473, 560 is 1.

Therefore, GCD of numbers 300, 309, 473, 560 is 1

Given Input Data is 300, 309, 473, 560

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 309 is 3 x 103

Prime Factorization of 473 is 11 x 43

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(300, 309) = 30900

GCD(300, 309) = ( 300 x 309 ) / 30900

GCD(300, 309) = 92700 / 30900

GCD(300, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 473

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

LCM(3, 473) = 1419

GCD(3, 473) = ( 3 x 473 ) / 1419

GCD(3, 473) = 1419 / 1419

GCD(3, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 300, 309, 473, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 529, 850, 748
• GCD of 562, 886, 881, 880
• GCD of 333, 811, 554, 942
• GCD of 451, 981, 524, 575
• GCD of 345, 220, 173, 584

1. What is the GCD of 300, 309, 473, 560?

GCD of 300, 309, 473, 560 is 1

2. Where do I get the detailed procedure to find GCD of 300, 309, 473, 560?

You can find a detailed procedure to find GCD of 300, 309, 473, 560 on our page.

3. How to find GCD of 300, 309, 473, 560 on a calculator?

You can find the GCD of 300, 309, 473, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.