GCD of 558, 234, 144, 207 Calculator

Given Input numbers are 558, 234, 144, 207

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

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 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

GCD of numbers is the greatest common divisor

So, the GCD (558, 234, 144, 207) = 9.

Given numbers are 558, 234, 144, 207

The list of prime factors of all numbers are

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 207 are 3 x 3 x 23

The highest common occurrence is 3²

Therefore, GCD of 558, 234, 144, 207 is 9.

Given numbers are 558, 234, 144, 207

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

Apply this formula for all numbers.

Step1:

LCM(558, 234) = 7254

GCD(558, 234) = ( 558 x 234 ) / 7254

= 558 / 234

= 558

Step2:

LCM(18, 144) = 144

GCD(18, 144) = ( 18 x 144 ) / 144

= 18 / 144

= 18

Step3:

LCM(18, 207) = 414

GCD(18, 207) = ( 18 x 207 ) / 414

= 18 / 207

= 18

So, Greatest Common Divisor of 558, 234, 144, 207 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 381, 304, 936
• GCD of 324, 315, 743, 257
• GCD of 702, 468, 161, 838
• GCD of 475, 559, 691, 267
• GCD of 527, 680, 195, 576

Given numbers are 558, 234, 144, 207
The greatest common divisor of numbers 558, 234, 144, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 234, 144, 207 is 9.

1. What is the GCD of 558, 234, 144, 207?

GCD of given numbers 558, 234, 144, 207 is 9

2. How to calculate the greatest common divisor of 558, 234, 144, 207?

We can find the highest common divisor of 558, 234, 144, 207 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 558, 234, 144, 207 i.e 9.

3. How can I use the GCD of 558, 234, 144, 207Calculator?

Out the numbers 558, 234, 144, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.