GCD of 228, 522, 216, 580 Calculator

Given Input numbers are 228, 522, 216, 580

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (228, 522, 216, 580) = 2.

Given numbers are 228, 522, 216, 580

The list of prime factors of all numbers are

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

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 228, 522, 216, 580 is 2.

Given numbers are 228, 522, 216, 580

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

Apply this formula for all numbers.

Step1:

LCM(228, 522) = 19836

GCD(228, 522) = ( 228 x 522 ) / 19836

= 228 / 522

= 228

Step2:

LCM(6, 216) = 216

GCD(6, 216) = ( 6 x 216 ) / 216

= 6 / 216

= 6

Step3:

LCM(6, 580) = 1740

GCD(6, 580) = ( 6 x 580 ) / 1740

= 6 / 580

= 6

So, Greatest Common Divisor of 228, 522, 216, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 440, 668, 760
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• GCD of 680, 922, 591, 143

Given numbers are 228, 522, 216, 580
The greatest common divisor of numbers 228, 522, 216, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 522, 216, 580 is 2.

1. What is the GCD of 228, 522, 216, 580?

GCD of given numbers 228, 522, 216, 580 is 2

2. How to calculate the greatest common divisor of 228, 522, 216, 580?

We can find the highest common divisor of 228, 522, 216, 580 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, 522, 216, 580 i.e 2.

3. How can I use the GCD of 228, 522, 216, 580Calculator?

Out the numbers 228, 522, 216, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.