GCD of 722, 384, 24, 384 Calculator

Given Input numbers are 722, 384, 24, 384

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 722, 384, 24, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 384, 24, 384 is 2.

Therefore, GCD of numbers 722, 384, 24, 384 is 2

Given Input Data is 722, 384, 24, 384

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(722, 384) = 138624

GCD(722, 384) = ( 722 x 384 ) / 138624

GCD(722, 384) = 277248 / 138624

GCD(722, 384) = 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 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

GCD of 722, 384, 24, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 627, 17, 170
• GCD of 721, 864, 51, 959
• GCD of 137, 756, 49, 338
• GCD of 385, 603, 92, 678
• GCD of 567, 405, 96, 399

1. What is the GCD of 722, 384, 24, 384?

GCD of 722, 384, 24, 384 is 2

2. Where do I get the detailed procedure to find GCD of 722, 384, 24, 384?

You can find a detailed procedure to find GCD of 722, 384, 24, 384 on our page.

3. How to find GCD of 722, 384, 24, 384 on a calculator?

You can find the GCD of 722, 384, 24, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.