GCD of 659, 409, 63, 966 Calculator

Given Input numbers are 659, 409, 63, 966

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

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

Greatest Common Divisior

We found the divisors of 659, 409, 63, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 409, 63, 966 is 1.

Therefore, GCD of numbers 659, 409, 63, 966 is 1

Given Input Data is 659, 409, 63, 966

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

Prime Factorization of 659 is 659

Prime Factorization of 409 is 409

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 966 is 2 x 3 x 7 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(659, 409) = 269531

GCD(659, 409) = ( 659 x 409 ) / 269531

GCD(659, 409) = 269531 / 269531

GCD(659, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 63

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

LCM(1, 63) = 63

GCD(1, 63) = ( 1 x 63 ) / 63

GCD(1, 63) = 63 / 63

GCD(1, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 659, 409, 63, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 816, 33, 530
• GCD of 819, 927, 69, 247
• GCD of 405, 883, 66, 119
• GCD of 389, 105, 98, 462
• GCD of 879, 875, 56, 804

1. What is the GCD of 659, 409, 63, 966?

GCD of 659, 409, 63, 966 is 1

2. Where do I get the detailed procedure to find GCD of 659, 409, 63, 966?

You can find a detailed procedure to find GCD of 659, 409, 63, 966 on our page.

3. How to find GCD of 659, 409, 63, 966 on a calculator?

You can find the GCD of 659, 409, 63, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.