GCD of 384, 585, 414, 423 Calculator

Given Input numbers are 384, 585, 414, 423

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (384, 585, 414, 423) = 3.

Given numbers are 384, 585, 414, 423

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 585 are 3 x 3 x 5 x 13

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 384, 585, 414, 423 is 3.

Given numbers are 384, 585, 414, 423

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

Apply this formula for all numbers.

Step1:

LCM(384, 585) = 74880

GCD(384, 585) = ( 384 x 585 ) / 74880

= 384 / 585

= 384

Step2:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

Step3:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

So, Greatest Common Divisor of 384, 585, 414, 423 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 568, 580, 999
• GCD of 987, 848, 332, 925
• GCD of 960, 463, 790, 792
• GCD of 431, 596, 344, 534
• GCD of 248, 166, 136, 590

Given numbers are 384, 585, 414, 423
The greatest common divisor of numbers 384, 585, 414, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 585, 414, 423 is 3.

1. What is the GCD of 384, 585, 414, 423?

GCD of given numbers 384, 585, 414, 423 is 3

2. How to calculate the greatest common divisor of 384, 585, 414, 423?

We can find the highest common divisor of 384, 585, 414, 423 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, 585, 414, 423 i.e 3.

3. How can I use the GCD of 384, 585, 414, 423Calculator?

Out the numbers 384, 585, 414, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.