GCD of 424, 800, 728, 384 Calculator

Given Input numbers are 424, 800, 728, 384

In the factoring method, we have to find the divisors of all numbers

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (424, 800, 728, 384) = 8.

Given numbers are 424, 800, 728, 384

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2³

Therefore, GCD of 424, 800, 728, 384 is 8.

Given numbers are 424, 800, 728, 384

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(424, 800) = 42400

GCD(424, 800) = ( 424 x 800 ) / 42400

= 424 / 800

= 424

Step2:

LCM(8, 728) = 728

GCD(8, 728) = ( 8 x 728 ) / 728

= 8 / 728

= 8

Step3:

LCM(8, 384) = 384

GCD(8, 384) = ( 8 x 384 ) / 384

= 8 / 384

= 8

So, Greatest Common Divisor of 424, 800, 728, 384 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 350, 758, 680
• GCD of 194, 177, 388, 655
• GCD of 424, 487, 787, 392
• GCD of 337, 564, 567, 808
• GCD of 594, 978, 650, 423

Given numbers are 424, 800, 728, 384
The greatest common divisor of numbers 424, 800, 728, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 800, 728, 384 is 8.

1. What is the GCD of 424, 800, 728, 384?

GCD of given numbers 424, 800, 728, 384 is 8

2. How to calculate the greatest common divisor of 424, 800, 728, 384?

We can find the highest common divisor of 424, 800, 728, 384 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 424, 800, 728, 384 i.e 8.

3. How can I use the GCD of 424, 800, 728, 384Calculator?

Out the numbers 424, 800, 728, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.