GCD of 906, 288, 558, 120 Calculator

Given Input numbers are 906, 288, 558, 120

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

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

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 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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (906, 288, 558, 120) = 6.

Given numbers are 906, 288, 558, 120

The list of prime factors of all numbers are

Prime factors of 906 are 2 x 3 x 151

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

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 906, 288, 558, 120 is 6.

Given numbers are 906, 288, 558, 120

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

Apply this formula for all numbers.

Step1:

LCM(906, 288) = 43488

GCD(906, 288) = ( 906 x 288 ) / 43488

= 906 / 288

= 906

Step2:

LCM(6, 558) = 558

GCD(6, 558) = ( 6 x 558 ) / 558

= 6 / 558

= 6

Step3:

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

= 6 / 120

= 6

So, Greatest Common Divisor of 906, 288, 558, 120 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 779, 299, 688
• GCD of 834, 938, 372, 808
• GCD of 403, 251, 297, 177
• GCD of 560, 287, 443, 355
• GCD of 337, 450, 386, 322

Given numbers are 906, 288, 558, 120
The greatest common divisor of numbers 906, 288, 558, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 288, 558, 120 is 6.

1. What is the GCD of 906, 288, 558, 120?

GCD of given numbers 906, 288, 558, 120 is 6

2. How to calculate the greatest common divisor of 906, 288, 558, 120?

We can find the highest common divisor of 906, 288, 558, 120 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 906, 288, 558, 120 i.e 6.

3. How can I use the GCD of 906, 288, 558, 120Calculator?

Out the numbers 906, 288, 558, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.