GCD of 384, 516, 380, 508 Calculator

Given Input numbers are 384, 516, 380, 508

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

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (384, 516, 380, 508) = 4.

Given numbers are 384, 516, 380, 508

The list of prime factors of all numbers are

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

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2²

Therefore, GCD of 384, 516, 380, 508 is 4.

Given numbers are 384, 516, 380, 508

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

Apply this formula for all numbers.

Step1:

LCM(384, 516) = 16512

GCD(384, 516) = ( 384 x 516 ) / 16512

= 384 / 516

= 384

Step2:

LCM(12, 380) = 1140

GCD(12, 380) = ( 12 x 380 ) / 1140

= 12 / 380

= 12

Step3:

LCM(4, 508) = 508

GCD(4, 508) = ( 4 x 508 ) / 508

= 4 / 508

= 4

So, Greatest Common Divisor of 384, 516, 380, 508 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 860, 981, 535
• GCD of 686, 384, 847, 351
• GCD of 749, 220, 422, 638
• GCD of 363, 997, 541, 307
• GCD of 777, 128, 959, 918

Given numbers are 384, 516, 380, 508
The greatest common divisor of numbers 384, 516, 380, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 516, 380, 508 is 4.

1. What is the GCD of 384, 516, 380, 508?

GCD of given numbers 384, 516, 380, 508 is 4

2. How to calculate the greatest common divisor of 384, 516, 380, 508?

We can find the highest common divisor of 384, 516, 380, 508 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 384, 516, 380, 508 i.e 4.

3. How can I use the GCD of 384, 516, 380, 508Calculator?

Out the numbers 384, 516, 380, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.