GCD of 89, 574, 116, 686 Calculator

Given Input numbers are 89, 574, 116, 686

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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 89, 574, 116, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 574, 116, 686 is 1.

Therefore, GCD of numbers 89, 574, 116, 686 is 1

Given Input Data is 89, 574, 116, 686

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

Prime Factorization of 89 is 89

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 116 is 2 x 2 x 29

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(89, 574) = 51086

GCD(89, 574) = ( 89 x 574 ) / 51086

GCD(89, 574) = 51086 / 51086

GCD(89, 574) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 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 89, 574, 116, 686 is 1

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1. What is the GCD of 89, 574, 116, 686?

GCD of 89, 574, 116, 686 is 1

2. Where do I get the detailed procedure to find GCD of 89, 574, 116, 686?

You can find a detailed procedure to find GCD of 89, 574, 116, 686 on our page.

3. How to find GCD of 89, 574, 116, 686 on a calculator?

You can find the GCD of 89, 574, 116, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.