GCD of 884, 117, 816, 686 Calculator

Given Input numbers are 884, 117, 816, 686

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

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 884, 117, 816, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 117, 816, 686 is 1.

Therefore, GCD of numbers 884, 117, 816, 686 is 1

Given Input Data is 884, 117, 816, 686

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 117 is 3 x 3 x 13

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(884, 117) = 7956

GCD(884, 117) = ( 884 x 117 ) / 7956

GCD(884, 117) = 103428 / 7956

GCD(884, 117) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 816

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

LCM(13, 816) = 10608

GCD(13, 816) = ( 13 x 816 ) / 10608

GCD(13, 816) = 10608 / 10608

GCD(13, 816) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 884, 117, 816, 686 is 1

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1. What is the GCD of 884, 117, 816, 686?

GCD of 884, 117, 816, 686 is 1

2. Where do I get the detailed procedure to find GCD of 884, 117, 816, 686?

You can find a detailed procedure to find GCD of 884, 117, 816, 686 on our page.

3. How to find GCD of 884, 117, 816, 686 on a calculator?

You can find the GCD of 884, 117, 816, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.