GCD of 399, 475, 76, 966 Calculator

Given Input numbers are 399, 475, 76, 966

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

Divisors of 399

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

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 399, 475, 76, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 475, 76, 966 is 1.

Therefore, GCD of numbers 399, 475, 76, 966 is 1

Given Input Data is 399, 475, 76, 966

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 76 is 2 x 2 x 19

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(399, 475) = 9975

GCD(399, 475) = ( 399 x 475 ) / 9975

GCD(399, 475) = 189525 / 9975

GCD(399, 475) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 76

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

LCM(19, 76) = 76

GCD(19, 76) = ( 19 x 76 ) / 76

GCD(19, 76) = 1444 / 76

GCD(19, 76) = 19

Step3:

Here we consider the GCD from the above i.e. 19 as first number and the next as 966

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

LCM(19, 966) = 18354

GCD(19, 966) = ( 19 x 966 ) / 18354

GCD(19, 966) = 18354 / 18354

GCD(19, 966) = 1

GCD of 399, 475, 76, 966 is 1

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• GCD of 825, 900, 90, 908
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1. What is the GCD of 399, 475, 76, 966?

GCD of 399, 475, 76, 966 is 1

2. Where do I get the detailed procedure to find GCD of 399, 475, 76, 966?

You can find a detailed procedure to find GCD of 399, 475, 76, 966 on our page.

3. How to find GCD of 399, 475, 76, 966 on a calculator?

You can find the GCD of 399, 475, 76, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.