GCD of 828, 558, 684, 822 Calculator

Given Input numbers are 828, 558, 684, 822

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (828, 558, 684, 822) = 6.

Given numbers are 828, 558, 684, 822

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 828, 558, 684, 822 is 6.

Given numbers are 828, 558, 684, 822

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

Apply this formula for all numbers.

Step1:

LCM(828, 558) = 25668

GCD(828, 558) = ( 828 x 558 ) / 25668

= 828 / 558

= 828

Step2:

LCM(18, 684) = 684

GCD(18, 684) = ( 18 x 684 ) / 684

= 18 / 684

= 18

Step3:

LCM(18, 822) = 2466

GCD(18, 822) = ( 18 x 822 ) / 2466

= 18 / 822

= 18

So, Greatest Common Divisor of 828, 558, 684, 822 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 124, 157, 862
• GCD of 870, 609, 120, 790
• GCD of 113, 220, 380, 170
• GCD of 902, 722, 361, 642
• GCD of 609, 821, 814, 588

Given numbers are 828, 558, 684, 822
The greatest common divisor of numbers 828, 558, 684, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 558, 684, 822 is 6.

1. What is the GCD of 828, 558, 684, 822?

GCD of given numbers 828, 558, 684, 822 is 6

2. How to calculate the greatest common divisor of 828, 558, 684, 822?

We can find the highest common divisor of 828, 558, 684, 822 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 828, 558, 684, 822 i.e 6.

3. How can I use the GCD of 828, 558, 684, 822Calculator?

Out the numbers 828, 558, 684, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.