GCD of 558, 312, 798, 842 Calculator

Given Input numbers are 558, 312, 798, 842

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (558, 312, 798, 842) = 2.

Given numbers are 558, 312, 798, 842

The list of prime factors of all numbers are

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 842 are 2 x 421

The highest common occurrence is 2¹

Therefore, GCD of 558, 312, 798, 842 is 2.

Given numbers are 558, 312, 798, 842

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

Apply this formula for all numbers.

Step1:

LCM(558, 312) = 29016

GCD(558, 312) = ( 558 x 312 ) / 29016

= 558 / 312

= 558

Step2:

LCM(6, 798) = 798

GCD(6, 798) = ( 6 x 798 ) / 798

= 6 / 798

= 6

Step3:

LCM(6, 842) = 2526

GCD(6, 842) = ( 6 x 842 ) / 2526

= 6 / 842

= 6

So, Greatest Common Divisor of 558, 312, 798, 842 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 550, 684, 383
• GCD of 679, 605, 234, 614
• GCD of 230, 235, 148, 992
• GCD of 321, 365, 189, 978
• GCD of 256, 437, 875, 247

Given numbers are 558, 312, 798, 842
The greatest common divisor of numbers 558, 312, 798, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 312, 798, 842 is 2.

1. What is the GCD of 558, 312, 798, 842?

GCD of given numbers 558, 312, 798, 842 is 2

2. How to calculate the greatest common divisor of 558, 312, 798, 842?

We can find the highest common divisor of 558, 312, 798, 842 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, 312, 798, 842 i.e 2.

3. How can I use the GCD of 558, 312, 798, 842Calculator?

Out the numbers 558, 312, 798, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.