GCD of 990, 284, 688 Calculator

Given Input numbers are 990, 284, 688

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 990, 284, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 284, 688 is 2.

Therefore, GCD of numbers 990, 284, 688 is 2

Given Input Data is 990, 284, 688

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 284 is 2 x 2 x 71

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 284) = 140580

GCD(990, 284) = ( 990 x 284 ) / 140580

GCD(990, 284) = 281160 / 140580

GCD(990, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 990, 284, 688 is 2

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1. What is the GCD of 990, 284, 688?

GCD of 990, 284, 688 is 2

2. Where do I get the detailed procedure to find GCD of 990, 284, 688?

You can find a detailed procedure to find GCD of 990, 284, 688 on our page.

3. How to find GCD of 990, 284, 688 on a calculator?

You can find the GCD of 990, 284, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.