GCD of 288, 594, 423, 318 Calculator

Given Input numbers are 288, 594, 423, 318

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

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 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 423 :

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

1, 3, 9, 47, 141, 423

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (288, 594, 423, 318) = 3.

Given numbers are 288, 594, 423, 318

The list of prime factors of all numbers are

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

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 423 are 3 x 3 x 47

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 288, 594, 423, 318 is 3.

Given numbers are 288, 594, 423, 318

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

Apply this formula for all numbers.

Step1:

LCM(288, 594) = 9504

GCD(288, 594) = ( 288 x 594 ) / 9504

= 288 / 594

= 288

Step2:

LCM(18, 423) = 846

GCD(18, 423) = ( 18 x 423 ) / 846

= 18 / 423

= 18

Step3:

LCM(9, 318) = 954

GCD(9, 318) = ( 9 x 318 ) / 954

= 9 / 318

= 9

So, Greatest Common Divisor of 288, 594, 423, 318 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 567, 888, 524
• GCD of 569, 814, 219, 161
• GCD of 780, 913, 716, 554
• GCD of 114, 447, 626, 908
• GCD of 897, 189, 487, 632

Given numbers are 288, 594, 423, 318
The greatest common divisor of numbers 288, 594, 423, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 594, 423, 318 is 3.

1. What is the GCD of 288, 594, 423, 318?

GCD of given numbers 288, 594, 423, 318 is 3

2. How to calculate the greatest common divisor of 288, 594, 423, 318?

We can find the highest common divisor of 288, 594, 423, 318 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 288, 594, 423, 318 i.e 3.

3. How can I use the GCD of 288, 594, 423, 318Calculator?

Out the numbers 288, 594, 423, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.