GCD of 795, 225, 85, 719 Calculator

Given Input numbers are 795, 225, 85, 719

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 795, 225, 85, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 225, 85, 719 is 1.

Therefore, GCD of numbers 795, 225, 85, 719 is 1

Given Input Data is 795, 225, 85, 719

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 85 is 5 x 17

Prime Factorization of 719 is 719

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(795, 225) = 11925

GCD(795, 225) = ( 795 x 225 ) / 11925

GCD(795, 225) = 178875 / 11925

GCD(795, 225) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 85

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

LCM(15, 85) = 255

GCD(15, 85) = ( 15 x 85 ) / 255

GCD(15, 85) = 1275 / 255

GCD(15, 85) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 719

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

LCM(5, 719) = 3595

GCD(5, 719) = ( 5 x 719 ) / 3595

GCD(5, 719) = 3595 / 3595

GCD(5, 719) = 1

GCD of 795, 225, 85, 719 is 1

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1. What is the GCD of 795, 225, 85, 719?

GCD of 795, 225, 85, 719 is 1

2. Where do I get the detailed procedure to find GCD of 795, 225, 85, 719?

You can find a detailed procedure to find GCD of 795, 225, 85, 719 on our page.

3. How to find GCD of 795, 225, 85, 719 on a calculator?

You can find the GCD of 795, 225, 85, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.