GCD of 806, 270, 61, 228 Calculator

Given Input numbers are 806, 270, 61, 228

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 806, 270, 61, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 270, 61, 228 is 1.

Therefore, GCD of numbers 806, 270, 61, 228 is 1

Given Input Data is 806, 270, 61, 228

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 61 is 61

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(806, 270) = 108810

GCD(806, 270) = ( 806 x 270 ) / 108810

GCD(806, 270) = 217620 / 108810

GCD(806, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 806, 270, 61, 228 is 1

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1. What is the GCD of 806, 270, 61, 228?

GCD of 806, 270, 61, 228 is 1

2. Where do I get the detailed procedure to find GCD of 806, 270, 61, 228?

You can find a detailed procedure to find GCD of 806, 270, 61, 228 on our page.

3. How to find GCD of 806, 270, 61, 228 on a calculator?

You can find the GCD of 806, 270, 61, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.