GCD of 990, 586, 674, 644 Calculator

Given Input numbers are 990, 586, 674, 644

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 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 990, 586, 674, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 586, 674, 644 is 2.

Therefore, GCD of numbers 990, 586, 674, 644 is 2

Given Input Data is 990, 586, 674, 644

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 586 is 2 x 293

Prime Factorization of 674 is 2 x 337

Prime Factorization of 644 is 2 x 2 x 7 x 23

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, 586) = 290070

GCD(990, 586) = ( 990 x 586 ) / 290070

GCD(990, 586) = 580140 / 290070

GCD(990, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

GCD of 990, 586, 674, 644 is 2

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1. What is the GCD of 990, 586, 674, 644?

GCD of 990, 586, 674, 644 is 2

2. Where do I get the detailed procedure to find GCD of 990, 586, 674, 644?

You can find a detailed procedure to find GCD of 990, 586, 674, 644 on our page.

3. How to find GCD of 990, 586, 674, 644 on a calculator?

You can find the GCD of 990, 586, 674, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.