GCD of 912, 310, 10, 586 Calculator

Given Input numbers are 912, 310, 10, 586

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 586

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

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 912, 310, 10, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 310, 10, 586 is 2.

Therefore, GCD of numbers 912, 310, 10, 586 is 2

Given Input Data is 912, 310, 10, 586

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 10 is 2 x 5

Prime Factorization of 586 is 2 x 293

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(912, 310) = 141360

GCD(912, 310) = ( 912 x 310 ) / 141360

GCD(912, 310) = 282720 / 141360

GCD(912, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 586

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

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

GCD(2, 586) = 1172 / 586

GCD(2, 586) = 2

GCD of 912, 310, 10, 586 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 715, 51, 363
• GCD of 368, 692, 27, 755
• GCD of 585, 256, 40, 769
• GCD of 855, 562, 12, 599
• GCD of 495, 225, 35, 619

1. What is the GCD of 912, 310, 10, 586?

GCD of 912, 310, 10, 586 is 2

2. Where do I get the detailed procedure to find GCD of 912, 310, 10, 586?

You can find a detailed procedure to find GCD of 912, 310, 10, 586 on our page.

3. How to find GCD of 912, 310, 10, 586 on a calculator?

You can find the GCD of 912, 310, 10, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.