GCD of 686, 264, 69 Calculator

Given Input numbers are 686, 264, 69

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 686, 264, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 264, 69 is 1.

Therefore, GCD of numbers 686, 264, 69 is 1

Given Input Data is 686, 264, 69

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 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 69 is 3 x 23

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, 264) = 90552

GCD(686, 264) = ( 686 x 264 ) / 90552

GCD(686, 264) = 181104 / 90552

GCD(686, 264) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

GCD of 686, 264, 69 is 1

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1. What is the GCD of 686, 264, 69?

GCD of 686, 264, 69 is 1

2. Where do I get the detailed procedure to find GCD of 686, 264, 69?

You can find a detailed procedure to find GCD of 686, 264, 69 on our page.

3. How to find GCD of 686, 264, 69 on a calculator?

You can find the GCD of 686, 264, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.