GCD of 300, 990, 808, 224 Calculator

Given Input numbers are 300, 990, 808, 224

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (300, 990, 808, 224) = 2.

Given numbers are 300, 990, 808, 224

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 300, 990, 808, 224 is 2.

Given numbers are 300, 990, 808, 224

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

Apply this formula for all numbers.

Step1:

LCM(300, 990) = 9900

GCD(300, 990) = ( 300 x 990 ) / 9900

= 300 / 990

= 300

Step2:

LCM(30, 808) = 12120

GCD(30, 808) = ( 30 x 808 ) / 12120

= 30 / 808

= 30

Step3:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

So, Greatest Common Divisor of 300, 990, 808, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 371, 590, 355
• GCD of 623, 853, 406, 432
• GCD of 679, 159, 134, 254
• GCD of 100, 568, 304, 982
• GCD of 834, 155, 708, 303

Given numbers are 300, 990, 808, 224
The greatest common divisor of numbers 300, 990, 808, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 990, 808, 224 is 2.

1. What is the GCD of 300, 990, 808, 224?

GCD of given numbers 300, 990, 808, 224 is 2

2. How to calculate the greatest common divisor of 300, 990, 808, 224?

We can find the highest common divisor of 300, 990, 808, 224 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 300, 990, 808, 224 i.e 2.

3. How can I use the GCD of 300, 990, 808, 224Calculator?

Out the numbers 300, 990, 808, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.