GCD of 460, 226, 966, 399 Calculator

Given Input numbers are 460, 226, 966, 399

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 226

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

1, 2, 113, 226

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 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 460, 226, 966, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 226, 966, 399 is 1.

Therefore, GCD of numbers 460, 226, 966, 399 is 1

Given Input Data is 460, 226, 966, 399

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 226 is 2 x 113

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

Prime Factorization of 399 is 3 x 7 x 19

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(460, 226) = 51980

GCD(460, 226) = ( 460 x 226 ) / 51980

GCD(460, 226) = 103960 / 51980

GCD(460, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 399

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

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

GCD(2, 399) = 798 / 798

GCD(2, 399) = 1

GCD of 460, 226, 966, 399 is 1

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1. What is the GCD of 460, 226, 966, 399?

GCD of 460, 226, 966, 399 is 1

2. Where do I get the detailed procedure to find GCD of 460, 226, 966, 399?

You can find a detailed procedure to find GCD of 460, 226, 966, 399 on our page.

3. How to find GCD of 460, 226, 966, 399 on a calculator?

You can find the GCD of 460, 226, 966, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.