GCD of 264, 689, 107, 686 Calculator

Given Input numbers are 264, 689, 107, 686

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

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

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 264, 689, 107, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 689, 107, 686 is 1.

Therefore, GCD of numbers 264, 689, 107, 686 is 1

Given Input Data is 264, 689, 107, 686

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 689 is 13 x 53

Prime Factorization of 107 is 107

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(264, 689) = 181896

GCD(264, 689) = ( 264 x 689 ) / 181896

GCD(264, 689) = 181896 / 181896

GCD(264, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 264, 689, 107, 686 is 1

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1. What is the GCD of 264, 689, 107, 686?

GCD of 264, 689, 107, 686 is 1

2. Where do I get the detailed procedure to find GCD of 264, 689, 107, 686?

You can find a detailed procedure to find GCD of 264, 689, 107, 686 on our page.

3. How to find GCD of 264, 689, 107, 686 on a calculator?

You can find the GCD of 264, 689, 107, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.