GCD of 400, 728, 65, 886 Calculator

Given Input numbers are 400, 728, 65, 886

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

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 400, 728, 65, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 728, 65, 886 is 1.

Therefore, GCD of numbers 400, 728, 65, 886 is 1

Given Input Data is 400, 728, 65, 886

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

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 65 is 5 x 13

Prime Factorization of 886 is 2 x 443

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(400, 728) = 36400

GCD(400, 728) = ( 400 x 728 ) / 36400

GCD(400, 728) = 291200 / 36400

GCD(400, 728) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 65

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

LCM(8, 65) = 520

GCD(8, 65) = ( 8 x 65 ) / 520

GCD(8, 65) = 520 / 520

GCD(8, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

GCD of 400, 728, 65, 886 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 802, 864, 73, 611
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• GCD of 365, 449, 39, 637
• GCD of 554, 780, 29, 212
• GCD of 189, 125, 31, 146

1. What is the GCD of 400, 728, 65, 886?

GCD of 400, 728, 65, 886 is 1

2. Where do I get the detailed procedure to find GCD of 400, 728, 65, 886?

You can find a detailed procedure to find GCD of 400, 728, 65, 886 on our page.

3. How to find GCD of 400, 728, 65, 886 on a calculator?

You can find the GCD of 400, 728, 65, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.