GCD of 95, 476, 728, 500 Calculator

Given Input numbers are 95, 476, 728, 500

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

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 95, 476, 728, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 476, 728, 500 is 1.

Therefore, GCD of numbers 95, 476, 728, 500 is 1

Given Input Data is 95, 476, 728, 500

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 476 is 2 x 2 x 7 x 17

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

Prime Factorization of 500 is 2 x 2 x 5 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(95, 476) = 45220

GCD(95, 476) = ( 95 x 476 ) / 45220

GCD(95, 476) = 45220 / 45220

GCD(95, 476) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 95, 476, 728, 500 is 1

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• GCD of 20, 706, 466, 235
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1. What is the GCD of 95, 476, 728, 500?

GCD of 95, 476, 728, 500 is 1

2. Where do I get the detailed procedure to find GCD of 95, 476, 728, 500?

You can find a detailed procedure to find GCD of 95, 476, 728, 500 on our page.

3. How to find GCD of 95, 476, 728, 500 on a calculator?

You can find the GCD of 95, 476, 728, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.