GCD of 195, 779, 25, 174 Calculator

Given Input numbers are 195, 779, 25, 174

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 25

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

1, 5, 25

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 195, 779, 25, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 779, 25, 174 is 1.

Therefore, GCD of numbers 195, 779, 25, 174 is 1

Given Input Data is 195, 779, 25, 174

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 779 is 19 x 41

Prime Factorization of 25 is 5 x 5

Prime Factorization of 174 is 2 x 3 x 29

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(195, 779) = 151905

GCD(195, 779) = ( 195 x 779 ) / 151905

GCD(195, 779) = 151905 / 151905

GCD(195, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 195, 779, 25, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 710, 28, 683
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• GCD of 636, 827, 21, 622

1. What is the GCD of 195, 779, 25, 174?

GCD of 195, 779, 25, 174 is 1

2. Where do I get the detailed procedure to find GCD of 195, 779, 25, 174?

You can find a detailed procedure to find GCD of 195, 779, 25, 174 on our page.

3. How to find GCD of 195, 779, 25, 174 on a calculator?

You can find the GCD of 195, 779, 25, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.