GCD of 24, 728, 461, 887 Calculator

Given Input numbers are 24, 728, 461, 887

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Greatest Common Divisior

We found the divisors of 24, 728, 461, 887 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 728, 461, 887 is 1.

Therefore, GCD of numbers 24, 728, 461, 887 is 1

Given Input Data is 24, 728, 461, 887

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

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

Prime Factorization of 461 is 461

Prime Factorization of 887 is 887

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(24, 728) = 2184

GCD(24, 728) = ( 24 x 728 ) / 2184

GCD(24, 728) = 17472 / 2184

GCD(24, 728) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 461

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

LCM(8, 461) = 3688

GCD(8, 461) = ( 8 x 461 ) / 3688

GCD(8, 461) = 3688 / 3688

GCD(8, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 887

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

LCM(1, 887) = 887

GCD(1, 887) = ( 1 x 887 ) / 887

GCD(1, 887) = 887 / 887

GCD(1, 887) = 1

GCD of 24, 728, 461, 887 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 660, 661, 430
• GCD of 23, 719, 299, 153
• GCD of 31, 438, 462, 327
• GCD of 39, 108, 744, 965
• GCD of 35, 897, 468, 376

1. What is the GCD of 24, 728, 461, 887?

GCD of 24, 728, 461, 887 is 1

2. Where do I get the detailed procedure to find GCD of 24, 728, 461, 887?

You can find a detailed procedure to find GCD of 24, 728, 461, 887 on our page.

3. How to find GCD of 24, 728, 461, 887 on a calculator?

You can find the GCD of 24, 728, 461, 887 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.