GCD of 72, 309, 640, 281 Calculator

Given Input numbers are 72, 309, 640, 281

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 309

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

1, 3, 103, 309

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 72, 309, 640, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 309, 640, 281 is 1.

Therefore, GCD of numbers 72, 309, 640, 281 is 1

Given Input Data is 72, 309, 640, 281

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 309 is 3 x 103

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 281 is 281

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(72, 309) = 7416

GCD(72, 309) = ( 72 x 309 ) / 7416

GCD(72, 309) = 22248 / 7416

GCD(72, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 640

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

LCM(3, 640) = 1920

GCD(3, 640) = ( 3 x 640 ) / 1920

GCD(3, 640) = 1920 / 1920

GCD(3, 640) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 281

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

LCM(1, 281) = 281

GCD(1, 281) = ( 1 x 281 ) / 281

GCD(1, 281) = 281 / 281

GCD(1, 281) = 1

GCD of 72, 309, 640, 281 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 330, 532, 409
• GCD of 12, 562, 632, 784
• GCD of 28, 503, 435, 756
• GCD of 69, 384, 591, 449
• GCD of 51, 890, 265, 482

1. What is the GCD of 72, 309, 640, 281?

GCD of 72, 309, 640, 281 is 1

2. Where do I get the detailed procedure to find GCD of 72, 309, 640, 281?

You can find a detailed procedure to find GCD of 72, 309, 640, 281 on our page.

3. How to find GCD of 72, 309, 640, 281 on a calculator?

You can find the GCD of 72, 309, 640, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.