GCD of 240, 672, 728, 383 Calculator

Given Input numbers are 240, 672, 728, 383

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 240, 672, 728, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 672, 728, 383 is 1.

Therefore, GCD of numbers 240, 672, 728, 383 is 1

Given Input Data is 240, 672, 728, 383

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 383 is 383

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(240, 672) = 3360

GCD(240, 672) = ( 240 x 672 ) / 3360

GCD(240, 672) = 161280 / 3360

GCD(240, 672) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 728

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

LCM(48, 728) = 4368

GCD(48, 728) = ( 48 x 728 ) / 4368

GCD(48, 728) = 34944 / 4368

GCD(48, 728) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 383

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

LCM(8, 383) = 3064

GCD(8, 383) = ( 8 x 383 ) / 3064

GCD(8, 383) = 3064 / 3064

GCD(8, 383) = 1

GCD of 240, 672, 728, 383 is 1

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1. What is the GCD of 240, 672, 728, 383?

GCD of 240, 672, 728, 383 is 1

2. Where do I get the detailed procedure to find GCD of 240, 672, 728, 383?

You can find a detailed procedure to find GCD of 240, 672, 728, 383 on our page.

3. How to find GCD of 240, 672, 728, 383 on a calculator?

You can find the GCD of 240, 672, 728, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.