GCD of 432, 387, 288, 588 Calculator

Given Input numbers are 432, 387, 288, 588

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (432, 387, 288, 588) = 3.

Given numbers are 432, 387, 288, 588

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 387 are 3 x 3 x 43

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 432, 387, 288, 588 is 3.

Given numbers are 432, 387, 288, 588

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

Apply this formula for all numbers.

Step1:

LCM(432, 387) = 18576

GCD(432, 387) = ( 432 x 387 ) / 18576

= 432 / 387

= 432

Step2:

LCM(9, 288) = 288

GCD(9, 288) = ( 9 x 288 ) / 288

= 9 / 288

= 9

Step3:

LCM(9, 588) = 1764

GCD(9, 588) = ( 9 x 588 ) / 1764

= 9 / 588

= 9

So, Greatest Common Divisor of 432, 387, 288, 588 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 114, 513, 688
• GCD of 253, 941, 514, 805
• GCD of 100, 818, 173, 160
• GCD of 584, 441, 636, 228
• GCD of 948, 683, 816, 244

Given numbers are 432, 387, 288, 588
The greatest common divisor of numbers 432, 387, 288, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 387, 288, 588 is 3.

1. What is the GCD of 432, 387, 288, 588?

GCD of given numbers 432, 387, 288, 588 is 3

2. How to calculate the greatest common divisor of 432, 387, 288, 588?

We can find the highest common divisor of 432, 387, 288, 588 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 432, 387, 288, 588 i.e 3.

3. How can I use the GCD of 432, 387, 288, 588Calculator?

Out the numbers 432, 387, 288, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.