GCD of 686, 497, 408 Calculator

Given Input numbers are 686, 497, 408

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 686, 497, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 497, 408 is 1.

Therefore, GCD of numbers 686, 497, 408 is 1

Given Input Data is 686, 497, 408

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 408 is 2 x 2 x 2 x 3 x 17

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 408

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

LCM(7, 408) = 2856

GCD(7, 408) = ( 7 x 408 ) / 2856

GCD(7, 408) = 2856 / 2856

GCD(7, 408) = 1

GCD of 686, 497, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 356, 470
• GCD of 894, 470, 666
• GCD of 845, 931, 486
• GCD of 263, 905, 948
• GCD of 564, 174, 484

1. What is the GCD of 686, 497, 408?

GCD of 686, 497, 408 is 1

2. Where do I get the detailed procedure to find GCD of 686, 497, 408?

You can find a detailed procedure to find GCD of 686, 497, 408 on our page.

3. How to find GCD of 686, 497, 408 on a calculator?

You can find the GCD of 686, 497, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.