GCD of 384, 906, 496, 380 Calculator

Given Input numbers are 384, 906, 496, 380

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 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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

GCD of numbers is the greatest common divisor

So, the GCD (384, 906, 496, 380) = 2.

Given numbers are 384, 906, 496, 380

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 906 are 2 x 3 x 151

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

The highest common occurrence is 2¹

Therefore, GCD of 384, 906, 496, 380 is 2.

Given numbers are 384, 906, 496, 380

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

Apply this formula for all numbers.

Step1:

LCM(384, 906) = 57984

GCD(384, 906) = ( 384 x 906 ) / 57984

= 384 / 906

= 384

Step2:

LCM(6, 496) = 1488

GCD(6, 496) = ( 6 x 496 ) / 1488

= 6 / 496

= 6

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 384, 906, 496, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 790, 116, 716
• GCD of 536, 984, 727, 199
• GCD of 598, 422, 744, 534
• GCD of 421, 348, 996, 356
• GCD of 101, 792, 704, 806

Given numbers are 384, 906, 496, 380
The greatest common divisor of numbers 384, 906, 496, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 906, 496, 380 is 2.

1. What is the GCD of 384, 906, 496, 380?

GCD of given numbers 384, 906, 496, 380 is 2

2. How to calculate the greatest common divisor of 384, 906, 496, 380?

We can find the highest common divisor of 384, 906, 496, 380 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, 906, 496, 380 i.e 2.

3. How can I use the GCD of 384, 906, 496, 380Calculator?

Out the numbers 384, 906, 496, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.