GCD of 132, 586, 320, 822 Calculator

Given Input numbers are 132, 586, 320, 822

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 586

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

1, 2, 293, 586

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 132, 586, 320, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 586, 320, 822 is 2.

Therefore, GCD of numbers 132, 586, 320, 822 is 2

Given Input Data is 132, 586, 320, 822

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 586 is 2 x 293

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 822 is 2 x 3 x 137

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(132, 586) = 38676

GCD(132, 586) = ( 132 x 586 ) / 38676

GCD(132, 586) = 77352 / 38676

GCD(132, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

GCD of 132, 586, 320, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 167, 136, 653
• GCD of 176, 307, 710, 228
• GCD of 525, 262, 265, 230
• GCD of 260, 816, 308, 599
• GCD of 395, 544, 374, 139

1. What is the GCD of 132, 586, 320, 822?

GCD of 132, 586, 320, 822 is 2

2. Where do I get the detailed procedure to find GCD of 132, 586, 320, 822?

You can find a detailed procedure to find GCD of 132, 586, 320, 822 on our page.

3. How to find GCD of 132, 586, 320, 822 on a calculator?

You can find the GCD of 132, 586, 320, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.