GCD of 52, 305, 194, 725 Calculator

Given Input numbers are 52, 305, 194, 725

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 52, 305, 194, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 305, 194, 725 is 1.

Therefore, GCD of numbers 52, 305, 194, 725 is 1

Given Input Data is 52, 305, 194, 725

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 305 is 5 x 61

Prime Factorization of 194 is 2 x 97

Prime Factorization of 725 is 5 x 5 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(52, 305) = 15860

GCD(52, 305) = ( 52 x 305 ) / 15860

GCD(52, 305) = 15860 / 15860

GCD(52, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 52, 305, 194, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 272, 730, 520
• GCD of 83, 179, 655, 694
• GCD of 83, 826, 421, 539
• GCD of 11, 400, 955, 665
• GCD of 58, 556, 440, 504

1. What is the GCD of 52, 305, 194, 725?

GCD of 52, 305, 194, 725 is 1

2. Where do I get the detailed procedure to find GCD of 52, 305, 194, 725?

You can find a detailed procedure to find GCD of 52, 305, 194, 725 on our page.

3. How to find GCD of 52, 305, 194, 725 on a calculator?

You can find the GCD of 52, 305, 194, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.