GCD of 228, 316, 306, 990 Calculator

Given Input numbers are 228, 316, 306, 990

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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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 (228, 316, 306, 990) = 2.

Given numbers are 228, 316, 306, 990

The list of prime factors of all numbers are

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

Prime factors of 316 are 2 x 2 x 79

Prime factors of 306 are 2 x 3 x 3 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 228, 316, 306, 990 is 2.

Given numbers are 228, 316, 306, 990

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

Apply this formula for all numbers.

Step1:

LCM(228, 316) = 18012

GCD(228, 316) = ( 228 x 316 ) / 18012

= 228 / 316

= 228

Step2:

LCM(4, 306) = 612

GCD(4, 306) = ( 4 x 306 ) / 612

= 4 / 306

= 4

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 228, 316, 306, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 982, 315, 257
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• GCD of 836, 774, 413, 641
• GCD of 221, 443, 357, 456
• GCD of 524, 343, 633, 575

Given numbers are 228, 316, 306, 990
The greatest common divisor of numbers 228, 316, 306, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 316, 306, 990 is 2.

1. What is the GCD of 228, 316, 306, 990?

GCD of given numbers 228, 316, 306, 990 is 2

2. How to calculate the greatest common divisor of 228, 316, 306, 990?

We can find the highest common divisor of 228, 316, 306, 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 228, 316, 306, 990 i.e 2.

3. How can I use the GCD of 228, 316, 306, 990Calculator?

Out the numbers 228, 316, 306, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.