GCD of 442, 964, 39, 400 Calculator

Given Input numbers are 442, 964, 39, 400

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 39

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

1, 3, 13, 39

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 442, 964, 39, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 964, 39, 400 is 1.

Therefore, GCD of numbers 442, 964, 39, 400 is 1

Given Input Data is 442, 964, 39, 400

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 39 is 3 x 13

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(442, 964) = 213044

GCD(442, 964) = ( 442 x 964 ) / 213044

GCD(442, 964) = 426088 / 213044

GCD(442, 964) = 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 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 442, 964, 39, 400 is 1

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1. What is the GCD of 442, 964, 39, 400?

GCD of 442, 964, 39, 400 is 1

2. Where do I get the detailed procedure to find GCD of 442, 964, 39, 400?

You can find a detailed procedure to find GCD of 442, 964, 39, 400 on our page.

3. How to find GCD of 442, 964, 39, 400 on a calculator?

You can find the GCD of 442, 964, 39, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.