GCD of 320, 598, 24, 269 Calculator

Given Input numbers are 320, 598, 24, 269

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 320, 598, 24, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 598, 24, 269 is 1.

Therefore, GCD of numbers 320, 598, 24, 269 is 1

Given Input Data is 320, 598, 24, 269

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 269 is 269

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(320, 598) = 95680

GCD(320, 598) = ( 320 x 598 ) / 95680

GCD(320, 598) = 191360 / 95680

GCD(320, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 1

GCD of 320, 598, 24, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 247, 36, 867
• GCD of 309, 219, 95, 321
• GCD of 908, 492, 57, 778
• GCD of 704, 565, 45, 703
• GCD of 660, 402, 71, 570

1. What is the GCD of 320, 598, 24, 269?

GCD of 320, 598, 24, 269 is 1

2. Where do I get the detailed procedure to find GCD of 320, 598, 24, 269?

You can find a detailed procedure to find GCD of 320, 598, 24, 269 on our page.

3. How to find GCD of 320, 598, 24, 269 on a calculator?

You can find the GCD of 320, 598, 24, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.