GCD of 686, 309, 58, 473 Calculator

Given Input numbers are 686, 309, 58, 473

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 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 686, 309, 58, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 309, 58, 473 is 1.

Therefore, GCD of numbers 686, 309, 58, 473 is 1

Given Input Data is 686, 309, 58, 473

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 309 is 3 x 103

Prime Factorization of 58 is 2 x 29

Prime Factorization of 473 is 11 x 43

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, 309) = 211974

GCD(686, 309) = ( 686 x 309 ) / 211974

GCD(686, 309) = 211974 / 211974

GCD(686, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 686, 309, 58, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 960, 67, 982
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• GCD of 129, 540, 53, 365
• GCD of 315, 723, 90, 678
• GCD of 784, 364, 88, 804

1. What is the GCD of 686, 309, 58, 473?

GCD of 686, 309, 58, 473 is 1

2. Where do I get the detailed procedure to find GCD of 686, 309, 58, 473?

You can find a detailed procedure to find GCD of 686, 309, 58, 473 on our page.

3. How to find GCD of 686, 309, 58, 473 on a calculator?

You can find the GCD of 686, 309, 58, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.