GCD of 857, 306, 795, 228 Calculator

Given Input numbers are 857, 306, 795, 228

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

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

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 857, 306, 795, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 306, 795, 228 is 1.

Therefore, GCD of numbers 857, 306, 795, 228 is 1

Given Input Data is 857, 306, 795, 228

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

Prime Factorization of 857 is 857

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 795 is 3 x 5 x 53

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(857, 306) = 262242

GCD(857, 306) = ( 857 x 306 ) / 262242

GCD(857, 306) = 262242 / 262242

GCD(857, 306) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 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 857, 306, 795, 228 is 1

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1. What is the GCD of 857, 306, 795, 228?

GCD of 857, 306, 795, 228 is 1

2. Where do I get the detailed procedure to find GCD of 857, 306, 795, 228?

You can find a detailed procedure to find GCD of 857, 306, 795, 228 on our page.

3. How to find GCD of 857, 306, 795, 228 on a calculator?

You can find the GCD of 857, 306, 795, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.