GCD of 228, 822, 584, 796 Calculator

Given Input numbers are 228, 822, 584, 796

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 822 :

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

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

GCD of numbers is the greatest common divisor

So, the GCD (228, 822, 584, 796) = 2.

Given numbers are 228, 822, 584, 796

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 822 are 2 x 3 x 137

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 796 are 2 x 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 228, 822, 584, 796 is 2.

Given numbers are 228, 822, 584, 796

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

Apply this formula for all numbers.

Step1:

LCM(228, 822) = 31236

GCD(228, 822) = ( 228 x 822 ) / 31236

= 228 / 822

= 228

Step2:

LCM(6, 584) = 1752

GCD(6, 584) = ( 6 x 584 ) / 1752

= 6 / 584

= 6

Step3:

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

= 2 / 796

= 2

So, Greatest Common Divisor of 228, 822, 584, 796 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 691, 466, 244
• GCD of 199, 336, 625, 722
• GCD of 253, 472, 756, 162
• GCD of 159, 116, 965, 904
• GCD of 744, 175, 506, 190

Given numbers are 228, 822, 584, 796
The greatest common divisor of numbers 228, 822, 584, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 822, 584, 796 is 2.

1. What is the GCD of 228, 822, 584, 796?

GCD of given numbers 228, 822, 584, 796 is 2

2. How to calculate the greatest common divisor of 228, 822, 584, 796?

We can find the highest common divisor of 228, 822, 584, 796 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 228, 822, 584, 796 i.e 2.

3. How can I use the GCD of 228, 822, 584, 796Calculator?

Out the numbers 228, 822, 584, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.