GCD of 795, 363, 25, 574 Calculator

Given Input numbers are 795, 363, 25, 574

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 25

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

1, 5, 25

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 795, 363, 25, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 363, 25, 574 is 1.

Therefore, GCD of numbers 795, 363, 25, 574 is 1

Given Input Data is 795, 363, 25, 574

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 363 is 3 x 11 x 11

Prime Factorization of 25 is 5 x 5

Prime Factorization of 574 is 2 x 7 x 41

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, 363) = 96195

GCD(795, 363) = ( 795 x 363 ) / 96195

GCD(795, 363) = 288585 / 96195

GCD(795, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 25

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

LCM(3, 25) = 75

GCD(3, 25) = ( 3 x 25 ) / 75

GCD(3, 25) = 75 / 75

GCD(3, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 795, 363, 25, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 779, 85, 117
• GCD of 556, 569, 15, 373
• GCD of 514, 899, 96, 155
• GCD of 390, 250, 93, 209
• GCD of 228, 224, 65, 955

1. What is the GCD of 795, 363, 25, 574?

GCD of 795, 363, 25, 574 is 1

2. Where do I get the detailed procedure to find GCD of 795, 363, 25, 574?

You can find a detailed procedure to find GCD of 795, 363, 25, 574 on our page.

3. How to find GCD of 795, 363, 25, 574 on a calculator?

You can find the GCD of 795, 363, 25, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.