GCD of 816, 888, 999, 986 Calculator

Given Input numbers are 816, 888, 999, 986

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 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 816, 888, 999, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 888, 999, 986 is 1.

Therefore, GCD of numbers 816, 888, 999, 986 is 1

Given Input Data is 816, 888, 999, 986

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 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 986 is 2 x 17 x 29

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, 888) = 30192

GCD(816, 888) = ( 816 x 888 ) / 30192

GCD(816, 888) = 724608 / 30192

GCD(816, 888) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 999

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

LCM(24, 999) = 7992

GCD(24, 999) = ( 24 x 999 ) / 7992

GCD(24, 999) = 23976 / 7992

GCD(24, 999) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 986

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

LCM(3, 986) = 2958

GCD(3, 986) = ( 3 x 986 ) / 2958

GCD(3, 986) = 2958 / 2958

GCD(3, 986) = 1

GCD of 816, 888, 999, 986 is 1

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• GCD of 814, 741, 957, 148
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1. What is the GCD of 816, 888, 999, 986?

GCD of 816, 888, 999, 986 is 1

2. Where do I get the detailed procedure to find GCD of 816, 888, 999, 986?

You can find a detailed procedure to find GCD of 816, 888, 999, 986 on our page.

3. How to find GCD of 816, 888, 999, 986 on a calculator?

You can find the GCD of 816, 888, 999, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.