GCD of 784, 506, 522, 384 Calculator

Given Input numbers are 784, 506, 522, 384

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 (784, 506, 522, 384) = 2.

Given numbers are 784, 506, 522, 384

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 506 are 2 x 11 x 23

Prime factors of 522 are 2 x 3 x 3 x 29

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 2¹

Therefore, GCD of 784, 506, 522, 384 is 2.

Given numbers are 784, 506, 522, 384

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

Apply this formula for all numbers.

Step1:

LCM(784, 506) = 198352

GCD(784, 506) = ( 784 x 506 ) / 198352

= 784 / 506

= 784

Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

Step3:

LCM(2, 384) = 384

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

= 2 / 384

= 2

So, Greatest Common Divisor of 784, 506, 522, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 190, 412, 753
• GCD of 918, 365, 493, 509
• GCD of 886, 727, 815, 930
• GCD of 731, 885, 601, 844
• GCD of 171, 207, 837, 960

Given numbers are 784, 506, 522, 384
The greatest common divisor of numbers 784, 506, 522, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 506, 522, 384 is 2.

1. What is the GCD of 784, 506, 522, 384?

GCD of given numbers 784, 506, 522, 384 is 2

2. How to calculate the greatest common divisor of 784, 506, 522, 384?

We can find the highest common divisor of 784, 506, 522, 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 784, 506, 522, 384 i.e 2.

3. How can I use the GCD of 784, 506, 522, 384Calculator?

Out the numbers 784, 506, 522, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.