GCD of 82, 440, 656, 215 Calculator

Given Input numbers are 82, 440, 656, 215

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 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 82, 440, 656, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 440, 656, 215 is 1.

Therefore, GCD of numbers 82, 440, 656, 215 is 1

Given Input Data is 82, 440, 656, 215

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 215 is 5 x 43

The above numbers do not have any common prime factor. So GCD is 1

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, 440) = 18040

GCD(82, 440) = ( 82 x 440 ) / 18040

GCD(82, 440) = 36080 / 18040

GCD(82, 440) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 656

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

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

GCD(2, 656) = 1312 / 656

GCD(2, 656) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 215

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

LCM(2, 215) = 430

GCD(2, 215) = ( 2 x 215 ) / 430

GCD(2, 215) = 430 / 430

GCD(2, 215) = 1

GCD of 82, 440, 656, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 661, 809, 296
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• GCD of 28, 279, 386, 990

1. What is the GCD of 82, 440, 656, 215?

GCD of 82, 440, 656, 215 is 1

2. Where do I get the detailed procedure to find GCD of 82, 440, 656, 215?

You can find a detailed procedure to find GCD of 82, 440, 656, 215 on our page.

3. How to find GCD of 82, 440, 656, 215 on a calculator?

You can find the GCD of 82, 440, 656, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.