GCD of 384, 558, 456 Calculator

Given Input numbers are 384, 558, 456

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 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (384, 558, 456) = 6.

Given numbers are 384, 558, 456

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 558 are 2 x 3 x 3 x 31

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 384, 558, 456 is 6.

Given numbers are 384, 558, 456

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

Apply this formula for all numbers.

Step1:

LCM(384, 558) = 35712

GCD(384, 558) = ( 384 x 558 ) / 35712

= 384 / 558

= 384

Step2:

LCM(6, 456) = 456

GCD(6, 456) = ( 6 x 456 ) / 456

= 6 / 456

= 6

So, Greatest Common Divisor of 384, 558, 456 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 327, 449
• GCD of 392, 642, 138
• GCD of 268, 857, 460
• GCD of 725, 925, 687
• GCD of 463, 776, 755

Given numbers are 384, 558, 456
The greatest common divisor of numbers 384, 558, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 558, 456 is 6.

1. What is the GCD of 384, 558, 456?

GCD of given numbers 384, 558, 456 is 6

2. How to calculate the greatest common divisor of 384, 558, 456?

We can find the highest common divisor of 384, 558, 456 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, 558, 456 i.e 6.

3. How can I use the GCD of 384, 558, 456Calculator?

Out the numbers 384, 558, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.