GCD of 990, 900, 185, 214 Calculator

Given Input numbers are 990, 900, 185, 214

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 990, 900, 185, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 900, 185, 214 is 1.

Therefore, GCD of numbers 990, 900, 185, 214 is 1

Given Input Data is 990, 900, 185, 214

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 185 is 5 x 37

Prime Factorization of 214 is 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(990, 900) = 9900

GCD(990, 900) = ( 990 x 900 ) / 9900

GCD(990, 900) = 891000 / 9900

GCD(990, 900) = 90

Step2:

Here we consider the GCD from the above i.e. 90 as first number and the next as 185

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

LCM(90, 185) = 3330

GCD(90, 185) = ( 90 x 185 ) / 3330

GCD(90, 185) = 16650 / 3330

GCD(90, 185) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 214

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

LCM(5, 214) = 1070

GCD(5, 214) = ( 5 x 214 ) / 1070

GCD(5, 214) = 1070 / 1070

GCD(5, 214) = 1

GCD of 990, 900, 185, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 925, 593, 427
• GCD of 918, 254, 922, 828
• GCD of 595, 445, 464, 832
• GCD of 357, 485, 685, 415
• GCD of 830, 432, 462, 175

1. What is the GCD of 990, 900, 185, 214?

GCD of 990, 900, 185, 214 is 1

2. Where do I get the detailed procedure to find GCD of 990, 900, 185, 214?

You can find a detailed procedure to find GCD of 990, 900, 185, 214 on our page.

3. How to find GCD of 990, 900, 185, 214 on a calculator?

You can find the GCD of 990, 900, 185, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.