GCD of 686, 261, 884, 198 Calculator

Given Input numbers are 686, 261, 884, 198

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

Divisors of 686

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

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 686, 261, 884, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 261, 884, 198 is 1.

Therefore, GCD of numbers 686, 261, 884, 198 is 1

Given Input Data is 686, 261, 884, 198

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

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

Prime Factorization of 261 is 3 x 3 x 29

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(686, 261) = 179046

GCD(686, 261) = ( 686 x 261 ) / 179046

GCD(686, 261) = 179046 / 179046

GCD(686, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 686, 261, 884, 198 is 1

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1. What is the GCD of 686, 261, 884, 198?

GCD of 686, 261, 884, 198 is 1

2. Where do I get the detailed procedure to find GCD of 686, 261, 884, 198?

You can find a detailed procedure to find GCD of 686, 261, 884, 198 on our page.

3. How to find GCD of 686, 261, 884, 198 on a calculator?

You can find the GCD of 686, 261, 884, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.