GCD of 586, 920, 912, 322 Calculator

Given Input numbers are 586, 920, 912, 322

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

Divisors of 586

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

1, 2, 293, 586

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 586, 920, 912, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 920, 912, 322 is 2.

Therefore, GCD of numbers 586, 920, 912, 322 is 2

Given Input Data is 586, 920, 912, 322

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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

Prime Factorization of 322 is 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(586, 920) = 269560

GCD(586, 920) = ( 586 x 920 ) / 269560

GCD(586, 920) = 539120 / 269560

GCD(586, 920) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 912

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

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

GCD(2, 912) = 1824 / 912

GCD(2, 912) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 322

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

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

GCD(2, 322) = 644 / 322

GCD(2, 322) = 2

GCD of 586, 920, 912, 322 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 114, 704, 565
• GCD of 817, 274, 537, 714
• GCD of 959, 454, 224, 648
• GCD of 971, 210, 595, 472
• GCD of 988, 761, 476, 420

1. What is the GCD of 586, 920, 912, 322?

GCD of 586, 920, 912, 322 is 2

2. Where do I get the detailed procedure to find GCD of 586, 920, 912, 322?

You can find a detailed procedure to find GCD of 586, 920, 912, 322 on our page.

3. How to find GCD of 586, 920, 912, 322 on a calculator?

You can find the GCD of 586, 920, 912, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.