GCD of 558, 375, 288, 132 Calculator

Given Input numbers are 558, 375, 288, 132

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (558, 375, 288, 132) = 3.

Given numbers are 558, 375, 288, 132

The list of prime factors of all numbers are

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

Prime factors of 375 are 3 x 5 x 5 x 5

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

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 558, 375, 288, 132 is 3.

Given numbers are 558, 375, 288, 132

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

Apply this formula for all numbers.

Step1:

LCM(558, 375) = 69750

GCD(558, 375) = ( 558 x 375 ) / 69750

= 558 / 375

= 558

Step2:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

Step3:

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

= 3 / 132

= 3

So, Greatest Common Divisor of 558, 375, 288, 132 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 213, 241, 868
• GCD of 272, 964, 447, 976
• GCD of 419, 534, 765, 295
• GCD of 657, 511, 310, 933
• GCD of 518, 243, 399, 527

Given numbers are 558, 375, 288, 132
The greatest common divisor of numbers 558, 375, 288, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 375, 288, 132 is 3.

1. What is the GCD of 558, 375, 288, 132?

GCD of given numbers 558, 375, 288, 132 is 3

2. How to calculate the greatest common divisor of 558, 375, 288, 132?

We can find the highest common divisor of 558, 375, 288, 132 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, 375, 288, 132 i.e 3.

3. How can I use the GCD of 558, 375, 288, 132Calculator?

Out the numbers 558, 375, 288, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.