GCD of 990, 586, 77, 851 Calculator

Given Input numbers are 990, 586, 77, 851

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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 990, 586, 77, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 586, 77, 851 is 1.

Therefore, GCD of numbers 990, 586, 77, 851 is 1

Given Input Data is 990, 586, 77, 851

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 77 is 7 x 11

Prime Factorization of 851 is 23 x 37

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, 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 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

GCD of 990, 586, 77, 851 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 936, 21, 410
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• GCD of 797, 400, 13, 620
• GCD of 180, 880, 26, 680
• GCD of 329, 829, 52, 489

1. What is the GCD of 990, 586, 77, 851?

GCD of 990, 586, 77, 851 is 1

2. Where do I get the detailed procedure to find GCD of 990, 586, 77, 851?

You can find a detailed procedure to find GCD of 990, 586, 77, 851 on our page.

3. How to find GCD of 990, 586, 77, 851 on a calculator?

You can find the GCD of 990, 586, 77, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.