GCD of 404, 650, 785, 966 Calculator

Given Input numbers are 404, 650, 785, 966

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

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 404, 650, 785, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 650, 785, 966 is 1.

Therefore, GCD of numbers 404, 650, 785, 966 is 1

Given Input Data is 404, 650, 785, 966

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 785 is 5 x 157

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(404, 650) = 131300

GCD(404, 650) = ( 404 x 650 ) / 131300

GCD(404, 650) = 262600 / 131300

GCD(404, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 785

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

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

GCD(2, 785) = 1570 / 1570

GCD(2, 785) = 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 404, 650, 785, 966 is 1

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1. What is the GCD of 404, 650, 785, 966?

GCD of 404, 650, 785, 966 is 1

2. Where do I get the detailed procedure to find GCD of 404, 650, 785, 966?

You can find a detailed procedure to find GCD of 404, 650, 785, 966 on our page.

3. How to find GCD of 404, 650, 785, 966 on a calculator?

You can find the GCD of 404, 650, 785, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.