GCD of 966, 226, 39, 686 Calculator

Given Input numbers are 966, 226, 39, 686

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 966, 226, 39, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 226, 39, 686 is 1.

Therefore, GCD of numbers 966, 226, 39, 686 is 1

Given Input Data is 966, 226, 39, 686

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 226 is 2 x 113

Prime Factorization of 39 is 3 x 13

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(966, 226) = 109158

GCD(966, 226) = ( 966 x 226 ) / 109158

GCD(966, 226) = 218316 / 109158

GCD(966, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 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 966, 226, 39, 686 is 1

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1. What is the GCD of 966, 226, 39, 686?

GCD of 966, 226, 39, 686 is 1

2. Where do I get the detailed procedure to find GCD of 966, 226, 39, 686?

You can find a detailed procedure to find GCD of 966, 226, 39, 686 on our page.

3. How to find GCD of 966, 226, 39, 686 on a calculator?

You can find the GCD of 966, 226, 39, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.