GCD of 816, 306, 827, 857 Calculator

Given Input numbers are 816, 306, 827, 857

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 857

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

1, 857

Greatest Common Divisior

We found the divisors of 816, 306, 827, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 306, 827, 857 is 1.

Therefore, GCD of numbers 816, 306, 827, 857 is 1

Given Input Data is 816, 306, 827, 857

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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

Prime Factorization of 827 is 827

Prime Factorization of 857 is 857

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(816, 306) = 2448

GCD(816, 306) = ( 816 x 306 ) / 2448

GCD(816, 306) = 249696 / 2448

GCD(816, 306) = 102

Step2:

Here we consider the GCD from the above i.e. 102 as first number and the next as 827

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

LCM(102, 827) = 84354

GCD(102, 827) = ( 102 x 827 ) / 84354

GCD(102, 827) = 84354 / 84354

GCD(102, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 816, 306, 827, 857 is 1

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1. What is the GCD of 816, 306, 827, 857?

GCD of 816, 306, 827, 857 is 1

2. Where do I get the detailed procedure to find GCD of 816, 306, 827, 857?

You can find a detailed procedure to find GCD of 816, 306, 827, 857 on our page.

3. How to find GCD of 816, 306, 827, 857 on a calculator?

You can find the GCD of 816, 306, 827, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.