GCD of 821, 656, 66, 255 Calculator

Given Input numbers are 821, 656, 66, 255

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

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 66

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

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 821, 656, 66, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 656, 66, 255 is 1.

Therefore, GCD of numbers 821, 656, 66, 255 is 1

Given Input Data is 821, 656, 66, 255

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

Prime Factorization of 821 is 821

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 255 is 3 x 5 x 17

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(821, 656) = 538576

GCD(821, 656) = ( 821 x 656 ) / 538576

GCD(821, 656) = 538576 / 538576

GCD(821, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 821, 656, 66, 255 is 1

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• GCD of 718, 476, 85, 434
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1. What is the GCD of 821, 656, 66, 255?

GCD of 821, 656, 66, 255 is 1

2. Where do I get the detailed procedure to find GCD of 821, 656, 66, 255?

You can find a detailed procedure to find GCD of 821, 656, 66, 255 on our page.

3. How to find GCD of 821, 656, 66, 255 on a calculator?

You can find the GCD of 821, 656, 66, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.