GCD of 686, 166, 89, 103 Calculator

Given Input numbers are 686, 166, 89, 103

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 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 89

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

1, 89

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 686, 166, 89, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 166, 89, 103 is 1.

Therefore, GCD of numbers 686, 166, 89, 103 is 1

Given Input Data is 686, 166, 89, 103

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 166 is 2 x 83

Prime Factorization of 89 is 89

Prime Factorization of 103 is 103

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, 166) = 56938

GCD(686, 166) = ( 686 x 166 ) / 56938

GCD(686, 166) = 113876 / 56938

GCD(686, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 686, 166, 89, 103 is 1

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1. What is the GCD of 686, 166, 89, 103?

GCD of 686, 166, 89, 103 is 1

2. Where do I get the detailed procedure to find GCD of 686, 166, 89, 103?

You can find a detailed procedure to find GCD of 686, 166, 89, 103 on our page.

3. How to find GCD of 686, 166, 89, 103 on a calculator?

You can find the GCD of 686, 166, 89, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.