GCD of 822, 314, 66, 386 Calculator

Given Input numbers are 822, 314, 66, 386

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

Divisors of 822

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

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 822, 314, 66, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 314, 66, 386 is 2.

Therefore, GCD of numbers 822, 314, 66, 386 is 2

Given Input Data is 822, 314, 66, 386

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 314 is 2 x 157

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 386 is 2 x 193

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(822, 314) = 129054

GCD(822, 314) = ( 822 x 314 ) / 129054

GCD(822, 314) = 258108 / 129054

GCD(822, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 386

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

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

GCD(2, 386) = 772 / 386

GCD(2, 386) = 2

GCD of 822, 314, 66, 386 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 809, 54, 131
• GCD of 659, 789, 64, 542
• GCD of 157, 370, 45, 755
• GCD of 463, 568, 23, 378
• GCD of 772, 261, 71, 222

1. What is the GCD of 822, 314, 66, 386?

GCD of 822, 314, 66, 386 is 2

2. Where do I get the detailed procedure to find GCD of 822, 314, 66, 386?

You can find a detailed procedure to find GCD of 822, 314, 66, 386 on our page.

3. How to find GCD of 822, 314, 66, 386 on a calculator?

You can find the GCD of 822, 314, 66, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.