GCD of 910, 990, 831, 706 Calculator

Given Input numbers are 910, 990, 831, 706

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 910, 990, 831, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 990, 831, 706 is 1.

Therefore, GCD of numbers 910, 990, 831, 706 is 1

Given Input Data is 910, 990, 831, 706

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 706 is 2 x 353

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(910, 990) = 90090

GCD(910, 990) = ( 910 x 990 ) / 90090

GCD(910, 990) = 900900 / 90090

GCD(910, 990) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 831

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

LCM(10, 831) = 8310

GCD(10, 831) = ( 10 x 831 ) / 8310

GCD(10, 831) = 8310 / 8310

GCD(10, 831) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 910, 990, 831, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 608, 580, 932
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1. What is the GCD of 910, 990, 831, 706?

GCD of 910, 990, 831, 706 is 1

2. Where do I get the detailed procedure to find GCD of 910, 990, 831, 706?

You can find a detailed procedure to find GCD of 910, 990, 831, 706 on our page.

3. How to find GCD of 910, 990, 831, 706 on a calculator?

You can find the GCD of 910, 990, 831, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.