GCD of 558, 516, 663, 990 Calculator

Given Input numbers are 558, 516, 663, 990

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (558, 516, 663, 990) = 3.

Given numbers are 558, 516, 663, 990

The list of prime factors of all numbers are

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

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 663 are 3 x 13 x 17

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 558, 516, 663, 990 is 3.

Given numbers are 558, 516, 663, 990

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

Apply this formula for all numbers.

Step1:

LCM(558, 516) = 47988

GCD(558, 516) = ( 558 x 516 ) / 47988

= 558 / 516

= 558

Step2:

LCM(6, 663) = 1326

GCD(6, 663) = ( 6 x 663 ) / 1326

= 6 / 663

= 6

Step3:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3

So, Greatest Common Divisor of 558, 516, 663, 990 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 498, 995, 434
• GCD of 839, 899, 841, 214
• GCD of 687, 481, 701, 570
• GCD of 933, 378, 540, 645
• GCD of 104, 320, 835, 122

Given numbers are 558, 516, 663, 990
The greatest common divisor of numbers 558, 516, 663, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 516, 663, 990 is 3.

1. What is the GCD of 558, 516, 663, 990?

GCD of given numbers 558, 516, 663, 990 is 3

2. How to calculate the greatest common divisor of 558, 516, 663, 990?

We can find the highest common divisor of 558, 516, 663, 990 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, 516, 663, 990 i.e 3.

3. How can I use the GCD of 558, 516, 663, 990Calculator?

Out the numbers 558, 516, 663, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.