GCD of 750, 728, 25, 464 Calculator

Given Input numbers are 750, 728, 25, 464

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 750, 728, 25, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 728, 25, 464 is 1.

Therefore, GCD of numbers 750, 728, 25, 464 is 1

Given Input Data is 750, 728, 25, 464

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(750, 728) = 273000

GCD(750, 728) = ( 750 x 728 ) / 273000

GCD(750, 728) = 546000 / 273000

GCD(750, 728) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 750, 728, 25, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 296, 91, 681
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• GCD of 927, 801, 43, 162
• GCD of 441, 681, 93, 233

1. What is the GCD of 750, 728, 25, 464?

GCD of 750, 728, 25, 464 is 1

2. Where do I get the detailed procedure to find GCD of 750, 728, 25, 464?

You can find a detailed procedure to find GCD of 750, 728, 25, 464 on our page.

3. How to find GCD of 750, 728, 25, 464 on a calculator?

You can find the GCD of 750, 728, 25, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.