GCD of 686, 497, 705 Calculator

Given Input numbers are 686, 497, 705

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 686, 497, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 497, 705 is 1.

Therefore, GCD of numbers 686, 497, 705 is 1

Given Input Data is 686, 497, 705

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 497 is 7 x 71

Prime Factorization of 705 is 3 x 5 x 47

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, 497) = 48706

GCD(686, 497) = ( 686 x 497 ) / 48706

GCD(686, 497) = 340942 / 48706

GCD(686, 497) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 705

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

LCM(7, 705) = 4935

GCD(7, 705) = ( 7 x 705 ) / 4935

GCD(7, 705) = 4935 / 4935

GCD(7, 705) = 1

GCD of 686, 497, 705 is 1

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1. What is the GCD of 686, 497, 705?

GCD of 686, 497, 705 is 1

2. Where do I get the detailed procedure to find GCD of 686, 497, 705?

You can find a detailed procedure to find GCD of 686, 497, 705 on our page.

3. How to find GCD of 686, 497, 705 on a calculator?

You can find the GCD of 686, 497, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.