GCD of 530, 520, 638, 384 Calculator

Given Input numbers are 530, 520, 638, 384

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

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

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 (530, 520, 638, 384) = 2.

Given numbers are 530, 520, 638, 384

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 638 are 2 x 11 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 530, 520, 638, 384 is 2.

Given numbers are 530, 520, 638, 384

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

Apply this formula for all numbers.

Step1:

LCM(530, 520) = 27560

GCD(530, 520) = ( 530 x 520 ) / 27560

= 530 / 520

= 530

Step2:

LCM(10, 638) = 3190

GCD(10, 638) = ( 10 x 638 ) / 3190

= 10 / 638

= 10

Step3:

LCM(2, 384) = 384

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

= 2 / 384

= 2

So, Greatest Common Divisor of 530, 520, 638, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 814, 475, 840
• GCD of 350, 401, 646, 862
• GCD of 815, 280, 741, 875
• GCD of 791, 629, 998, 319
• GCD of 194, 564, 577, 653

Given numbers are 530, 520, 638, 384
The greatest common divisor of numbers 530, 520, 638, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 520, 638, 384 is 2.

1. What is the GCD of 530, 520, 638, 384?

GCD of given numbers 530, 520, 638, 384 is 2

2. How to calculate the greatest common divisor of 530, 520, 638, 384?

We can find the highest common divisor of 530, 520, 638, 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 530, 520, 638, 384 i.e 2.

3. How can I use the GCD of 530, 520, 638, 384Calculator?

Out the numbers 530, 520, 638, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.