GCD of 82, 940, 822, 320 Calculator

Given Input numbers are 82, 940, 822, 320

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 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

Greatest Common Divisior

We found the divisors of 82, 940, 822, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 940, 822, 320 is 2.

Therefore, GCD of numbers 82, 940, 822, 320 is 2

Given Input Data is 82, 940, 822, 320

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 822 is 2 x 3 x 137

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

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(82, 940) = 38540

GCD(82, 940) = ( 82 x 940 ) / 38540

GCD(82, 940) = 77080 / 38540

GCD(82, 940) = 2

Step2:

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

Step3:

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

GCD of 82, 940, 822, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 398, 592, 238
• GCD of 64, 978, 516, 305
• GCD of 79, 810, 986, 376
• GCD of 40, 639, 444, 568
• GCD of 85, 730, 201, 247

1. What is the GCD of 82, 940, 822, 320?

GCD of 82, 940, 822, 320 is 2

2. Where do I get the detailed procedure to find GCD of 82, 940, 822, 320?

You can find a detailed procedure to find GCD of 82, 940, 822, 320 on our page.

3. How to find GCD of 82, 940, 822, 320 on a calculator?

You can find the GCD of 82, 940, 822, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.