GCD of 721, 104, 75 Calculator

Given Input numbers are 721, 104, 75

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Greatest Common Divisior

We found the divisors of 721, 104, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 104, 75 is 1.

Therefore, GCD of numbers 721, 104, 75 is 1

Given Input Data is 721, 104, 75

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 75 is 3 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(721, 104) = 74984

GCD(721, 104) = ( 721 x 104 ) / 74984

GCD(721, 104) = 74984 / 74984

GCD(721, 104) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

GCD of 721, 104, 75 is 1

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1. What is the GCD of 721, 104, 75?

GCD of 721, 104, 75 is 1

2. Where do I get the detailed procedure to find GCD of 721, 104, 75?

You can find a detailed procedure to find GCD of 721, 104, 75 on our page.

3. How to find GCD of 721, 104, 75 on a calculator?

You can find the GCD of 721, 104, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.