GCD of 304, 946, 500, 799 Calculator

Given Input numbers are 304, 946, 500, 799

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 304, 946, 500, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 946, 500, 799 is 1.

Therefore, GCD of numbers 304, 946, 500, 799 is 1

Given Input Data is 304, 946, 500, 799

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 799 is 17 x 47

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(304, 946) = 143792

GCD(304, 946) = ( 304 x 946 ) / 143792

GCD(304, 946) = 287584 / 143792

GCD(304, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 799

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

LCM(2, 799) = 1598

GCD(2, 799) = ( 2 x 799 ) / 1598

GCD(2, 799) = 1598 / 1598

GCD(2, 799) = 1

GCD of 304, 946, 500, 799 is 1

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1. What is the GCD of 304, 946, 500, 799?

GCD of 304, 946, 500, 799 is 1

2. Where do I get the detailed procedure to find GCD of 304, 946, 500, 799?

You can find a detailed procedure to find GCD of 304, 946, 500, 799 on our page.

3. How to find GCD of 304, 946, 500, 799 on a calculator?

You can find the GCD of 304, 946, 500, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.