GCD of 261, 686, 19, 558 Calculator

Given Input numbers are 261, 686, 19, 558

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

Divisors of 261

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

1, 3, 9, 29, 87, 261

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 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 261, 686, 19, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 686, 19, 558 is 1.

Therefore, GCD of numbers 261, 686, 19, 558 is 1

Given Input Data is 261, 686, 19, 558

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

Prime Factorization of 261 is 3 x 3 x 29

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

Prime Factorization of 19 is 19

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(261, 686) = 179046

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

GCD(261, 686) = 179046 / 179046

GCD(261, 686) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 261, 686, 19, 558 is 1

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1. What is the GCD of 261, 686, 19, 558?

GCD of 261, 686, 19, 558 is 1

2. Where do I get the detailed procedure to find GCD of 261, 686, 19, 558?

You can find a detailed procedure to find GCD of 261, 686, 19, 558 on our page.

3. How to find GCD of 261, 686, 19, 558 on a calculator?

You can find the GCD of 261, 686, 19, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.