GCD of 435, 493, 686 Calculator

Given Input numbers are 435, 493, 686

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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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 435, 493, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 493, 686 is 1.

Therefore, GCD of numbers 435, 493, 686 is 1

Given Input Data is 435, 493, 686

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

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 493 is 17 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(435, 493) = 7395

GCD(435, 493) = ( 435 x 493 ) / 7395

GCD(435, 493) = 214455 / 7395

GCD(435, 493) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 686

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

LCM(29, 686) = 19894

GCD(29, 686) = ( 29 x 686 ) / 19894

GCD(29, 686) = 19894 / 19894

GCD(29, 686) = 1

GCD of 435, 493, 686 is 1

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1. What is the GCD of 435, 493, 686?

GCD of 435, 493, 686 is 1

2. Where do I get the detailed procedure to find GCD of 435, 493, 686?

You can find a detailed procedure to find GCD of 435, 493, 686 on our page.

3. How to find GCD of 435, 493, 686 on a calculator?

You can find the GCD of 435, 493, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.